404165965140 has 192 divisors, whose sum is σ = 1437770073600. Its totient is φ = 92333509632.

The previous prime is 404165965123. The next prime is 404165965201. The reversal of 404165965140 is 41569561404.

404165965140 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 6 + 596 + 51 + 4 + 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 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, 7643272 + ... + 7695968.

It is an arithmetic number, because the mean of its divisors is an integer number (7488385800).

Almost surely, 2^404165965140 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 404165965140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718885036800).

404165965140 is an abundant number, since it is smaller than the sum of its proper divisors (1033604108460).

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

404165965140 is a wasteful number, since it uses less digits than its factorization.

404165965140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54751 (or 54743 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 404165965140 in words is "four hundred four billion, one hundred sixty-five million, nine hundred sixty-five thousand, one hundred forty".