40008740229360 has 1800 divisors, whose sum is σ = 166115552522400. Its totient is φ = 8957331661824.

The previous prime is 40008740229329. The next prime is 40008740229361. The reversal of 40008740229360 is 6392204780004.

40008740229360 is a `hidden beast` number, since 400 + 0 + 87 + 4 + 0 + 22 + 93 + 60 = 666.

It is a super-4 number, since 4×40008740229360⁴ (a number of 56 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40008740229361) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 66792554341 + ... + 66792554939.

It is an arithmetic number, because the mean of its divisors is an integer number (92286418068).

Almost surely, 2^{40008740229360} is an apocalyptic number.

40008740229360 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 40008740229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83057776261200).

40008740229360 is an abundant number, since it is smaller than the sum of its proper divisors (126106812293040).

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

40008740229360 is an frugal number, since it uses more digits than its factorization.

40008740229360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40008740229360 in words is "forty trillion, eight billion, seven hundred forty million, two hundred twenty-nine thousand, three hundred sixty".