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40022498880 = 26325713217691
BaseRepresentation
bin100101010001100001…
…101101111001000000
310211022020101121011100
4211101201231321000
51123431224431010
630215221014400
72614536425130
oct452141557100
9124266347140
1040022498880
1115a78725861
12790b554400
133a0a92c200
141d19586ac0
15109397d2c0
hex95186de40

40022498880 has 1008 divisors, whose sum is σ = 180641695104. Its totient is φ = 7936081920.

The previous prime is 40022498861. The next prime is 40022498903. The reversal of 40022498880 is 8889422004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 57919335 + ... + 57920025.

Almost surely, 240022498880 is an apocalyptic number.

40022498880 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 40022498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90320847552).

40022498880 is an abundant number, since it is smaller than the sum of its proper divisors (140619196224).

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

40022498880 is a wasteful number, since it uses less digits than its factorization.

40022498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 40022498880 in words is "forty billion, twenty-two million, four hundred ninety-eight thousand, eight hundred eighty".