407979165440 has 864 divisors, whose sum is σ = 1294450483200. Its totient is φ = 120434688000.

The previous prime is 407979165427. The next prime is 407979165457. The reversal of 407979165440 is 44561979704.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 95 ways as a sum of consecutive naturals, for example, 2050146461 + ... + 2050146659.

Almost surely, 2^407979165440 is an apocalyptic number.

407979165440 is a gapful number since it is divisible by the number (40) 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 407979165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647225241600).

407979165440 is an abundant number, since it is smaller than the sum of its proper divisors (886471317760).

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

407979165440 is a wasteful number, since it uses less digits than its factorization.

407979165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 407979165440 in words is "four hundred seven billion, nine hundred seventy-nine million, one hundred sixty-five thousand, four hundred forty".