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40398200491600 = 245271715131317957
BaseRepresentation
bin10010010111101111100000…
…11000111100111001010000
312022001000211001101212212001
421023313300120330321100
520243341003311212400
6221530402130443344
711336450032265410
oct1113676030747120
9168030731355761
1040398200491600
1111965864aa9146
124645537733554
1319706c3158723
149d93d7692640
154a0cb3657a6a
hex24bdf063ce50

40398200491600 has 480 divisors, whose sum is σ = 118608846690816. Its totient is φ = 12907634688000.

The previous prime is 40398200491553. The next prime is 40398200491603. The reversal of 40398200491600 is 619400289304.

40398200491600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40398200491603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2249709822 + ... + 2249727778.

Almost surely, 240398200491600 is an apocalyptic number.

40398200491600 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 40398200491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304423345408).

40398200491600 is an abundant number, since it is smaller than the sum of its proper divisors (78210646199216).

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

40398200491600 is a wasteful number, since it uses less digits than its factorization.

40398200491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 40398200491600 in words is "forty trillion, three hundred ninety-eight billion, two hundred million, four hundred ninety-one thousand, six hundred".