40264116415740 has 288 divisors, whose sum is σ = 147818873704320. Its totient is φ = 8660343472128.

The previous prime is 40264116415711. The next prime is 40264116415751. The reversal of 40264116415740 is 4751461146204.

40264116415740 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 11 + 64 + 1 + 574 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 124352776 + ... + 124676144.

It is an arithmetic number, because the mean of its divisors is an integer number (513259978140).

Almost surely, 2^{40264116415740} 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 40264116415740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73909436852160).

40264116415740 is an abundant number, since it is smaller than the sum of its proper divisors (107554757288580).

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

40264116415740 is a wasteful number, since it uses less digits than its factorization.

40264116415740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329221 (or 329216 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40264116415740 in words is "forty trillion, two hundred sixty-four billion, one hundred sixteen million, four hundred fifteen thousand, seven hundred forty".