400413316323240 has 384 divisors, whose sum is σ = 1443837194841600. Its totient is φ = 95416171200000.

The previous prime is 400413316323239. The next prime is 400413316323281. The reversal of 400413316323240 is 42323613314004.

It is a happy number.

400413316323240 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 331 + 63 + 23 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400413316323195 and 400413316323204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2862253695 + ... + 2862393585.

It is an arithmetic number, because the mean of its divisors is an integer number (3759992694900).

Almost surely, 2^{400413316323240} is an apocalyptic number.

400413316323240 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 400413316323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721918597420800).

400413316323240 is an abundant number, since it is smaller than the sum of its proper divisors (1043423878518360).

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

400413316323240 is a wasteful number, since it uses less digits than its factorization.

400413316323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152229 (or 152222 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 400413316323240 its reverse (42323613314004), we get a palindrome (442736929637244).

The spelling of 400413316323240 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, three hundred twenty-three thousand, two hundred forty".