400431326340 has 96 divisors (see below), whose sum is σ = 1133950761216. Its totient is φ = 105571468800.

The previous prime is 400431326303. The next prime is 400431326401. The reversal of 400431326340 is 43623134004.

It is a super-2 number, since 2×400431326340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 400431326298 and 400431326307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3735490 + ... + 3841190.

It is an arithmetic number, because the mean of its divisors is an integer number (11811987096).

Almost surely, 2^400431326340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400431326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566975380608).

400431326340 is an abundant number, since it is smaller than the sum of its proper divisors (733519434876).

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

400431326340 is a wasteful number, since it uses less digits than its factorization.

400431326340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106429 (or 106427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 400431326340 in words is "four hundred billion, four hundred thirty-one million, three hundred twenty-six thousand, three hundred forty".