40745166154704 has 320 divisors, whose sum is σ = 133587569848320. Its totient is φ = 11769876011520.

The previous prime is 40745166154699. The next prime is 40745166154723.

40745166154704 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 5 + 16 + 615 + 4 + 7 + 0 + 4 = 666.

40745166154704 is nontrivially palindromic in base 10.

40745166154704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40745166154704² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 31387557 + ... + 32659899.

It is an arithmetic number, because the mean of its divisors is an integer number (417461155776).

Almost surely, 2^{40745166154704} is an apocalyptic number.

40745166154704 is a gapful number since it is divisible by the number (44) 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 40745166154704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66793784924160).

40745166154704 is an abundant number, since it is smaller than the sum of its proper divisors (92842403693616).

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

40745166154704 is a wasteful number, since it uses less digits than its factorization.

40745166154704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272687 (or 1272675 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 40745166154704 in words is "forty trillion, seven hundred forty-five billion, one hundred sixty-six million, one hundred fifty-four thousand, seven hundred four".