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40340130332040 = 233257211316706321
BaseRepresentation
bin10010010110000011010110…
…01000110111110110001000
312021211110221001011010111200
421023001223020313312020
520241413041331111130
6221444000001424200
711332323015132600
oct1113015310676610
9167743831133450
1040340130332040
11119431759a8840
12463623003b060
13196809a47c576
149d6689233c00
1549e515559760
hex24b06b237d88

40340130332040 has 576 divisors, whose sum is σ = 171741931845120. Its totient is φ = 8111964672000.

The previous prime is 40340130331993. The next prime is 40340130332059. The reversal of 40340130332040 is 4023303104304.

40340130332040 is a `hidden beast` number, since 4 + 0 + 34 + 0 + 1 + 303 + 320 + 4 + 0 = 666.

It is a super-2 number, since 2×403401303320402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40340130331995 and 40340130332013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2662080 + ... + 9368400.

It is an arithmetic number, because the mean of its divisors is an integer number (298163076120).

Almost surely, 240340130332040 is an apocalyptic number.

40340130332040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40340130332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85870965922560).

40340130332040 is an abundant number, since it is smaller than the sum of its proper divisors (131401801513080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40340130332040 is a wasteful number, since it uses less digits than its factorization.

40340130332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706394 (or 6706380 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40340130332040 its reverse (4023303104304), we get a palindrome (44363433436344).

The spelling of 40340130332040 in words is "forty trillion, three hundred forty billion, one hundred thirty million, three hundred thirty-two thousand, forty".