40137468487788 has 192 divisors, whose sum is σ = 115041123090432. Its totient is φ = 10643189356800.

The previous prime is 40137468487757. The next prime is 40137468487807. The reversal of 40137468487788 is 88778486473104.

It is a super-2 number, since 2×40137468487788² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10944670 + ... + 14144282.

It is an arithmetic number, because the mean of its divisors is an integer number (599172516096).

Almost surely, 2^{40137468487788} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137468487788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57520561545216).

40137468487788 is an abundant number, since it is smaller than the sum of its proper divisors (74903654602644).

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

40137468487788 is a wasteful number, since it uses less digits than its factorization.

40137468487788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199844 (or 3199842 counting only the distinct ones).

The product of its (nonzero) digits is 1618477056, while the sum is 75.

The spelling of 40137468487788 in words is "forty trillion, one hundred thirty-seven billion, four hundred sixty-eight million, four hundred eighty-seven thousand, seven hundred eighty-eight".