400084572960 has 144 divisors (see below), whose sum is σ = 1365873720120. Its totient is φ = 106643496960.

The previous prime is 400084572917. The next prime is 400084572967. The reversal of 400084572960 is 69275480004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 292235385744 + 107849187216 = 540588^2 + 328404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (400084572967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370296 + ... + 3486984.

Almost surely, 2^400084572960 is an apocalyptic number.

400084572960 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 400084572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682936860060).

400084572960 is an abundant number, since it is smaller than the sum of its proper divisors (965789147160).

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

400084572960 is a wasteful number, since it uses less digits than its factorization.

400084572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119091 (or 119080 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 400084572960 in words is "four hundred billion, eighty-four million, five hundred seventy-two thousand, nine hundred sixty".