400496164480 has 128 divisors (see below), whose sum is σ = 964723996800. Its totient is φ = 158981222400.

The previous prime is 400496164381. The next prime is 400496164507. The reversal of 400496164480 is 84461694004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 400496164480.

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 15 ways as a sum of consecutive naturals, for example, 193568886 + ... + 193570954.

It is an arithmetic number, because the mean of its divisors is an integer number (7536906225).

Almost surely, 2^400496164480 is an apocalyptic number.

400496164480 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 400496164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482361998400).

400496164480 is an abundant number, since it is smaller than the sum of its proper divisors (564227832320).

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

400496164480 is a wasteful number, since it uses less digits than its factorization.

400496164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 400496164480 in words is "four hundred billion, four hundred ninety-six million, one hundred sixty-four thousand, four hundred eighty".