40061415011256 has 128 divisors (see below), whose sum is σ = 111606504192000. Its totient is φ = 13314843628416.

The previous prime is 40061415011227. The next prime is 40061415011263. The reversal of 40061415011256 is 65211051416004.

40061415011256 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 141 + 501 + 1 + 2 + 5 + 6 = 666.

40061415011256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40061415011256.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 434285170 + ... + 434377406.

It is an arithmetic number, because the mean of its divisors is an integer number (871925814000).

Almost surely, 2^{40061415011256} 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 40061415011256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55803252096000).

40061415011256 is an abundant number, since it is smaller than the sum of its proper divisors (71545089180744).

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

40061415011256 is a wasteful number, since it uses less digits than its factorization.

40061415011256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98098 (or 98088 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 40061415011256 in words is "forty trillion, sixty-one billion, four hundred fifteen million, eleven thousand, two hundred fifty-six".