40465355356404 has 192 divisors, whose sum is σ = 115222092840960. Its totient is φ = 12179257200000.

The previous prime is 40465355356373. The next prime is 40465355356411.

40465355356404 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 535 + 53 + 56 + 4 + 0 + 4 = 666.

40465355356404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40465355356404² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1776109197 + ... + 1776131979.

It is an arithmetic number, because the mean of its divisors is an integer number (600115066880).

Almost surely, 2^{40465355356404} is an apocalyptic number.

40465355356404 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 40465355356404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57611046420480).

40465355356404 is an abundant number, since it is smaller than the sum of its proper divisors (74756737484556).

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

40465355356404 is a wasteful number, since it uses less digits than its factorization.

40465355356404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32859 (or 32851 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 40465355356404 in words is "forty trillion, four hundred sixty-five billion, three hundred fifty-five million, three hundred fifty-six thousand, four hundred four".