400413316323280 has 40 divisors (see below), whose sum is σ = 1002573342027432. Its totient is φ = 147844916795904.

The previous prime is 400413316323239. The next prime is 400413316323281. The reversal of 400413316323280 is 82323613314004.

It can be written as a sum of positive squares in 4 ways, for example, as 98557162339216 + 301856153984064 = 9927596^2 + 17374008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400413316323281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192506401039 + ... + 192506403118.

Almost surely, 2^{400413316323280} is an apocalyptic number.

400413316323280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400413316323280 is an abundant number, since it is smaller than the sum of its proper divisors (602160025704152).

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

400413316323280 is a wasteful number, since it uses less digits than its factorization.

400413316323280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385012804183 (or 385012804177 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

Adding to 400413316323280 its reverse (82323613314004), we get a palindrome (482736929637284).

The spelling of 400413316323280 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, three hundred twenty-three thousand, two hundred eighty".