400344313200 has 240 divisors, whose sum is σ = 1383924506496. Its totient is φ = 98343705600.

The previous prime is 400344313199. The next prime is 400344313253. The reversal of 400344313200 is 2313443004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×400344313200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7633467 + ... + 7685733.

Almost surely, 2^400344313200 is an apocalyptic number.

400344313200 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 400344313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691962253248).

400344313200 is an abundant number, since it is smaller than the sum of its proper divisors (983580193296).

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

400344313200 is a wasteful number, since it uses less digits than its factorization.

400344313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52792 (or 52781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 400344313200 its reverse (2313443004), we get a palindrome (402657756204).

The spelling of 400344313200 in words is "four hundred billion, three hundred forty-four million, three hundred thirteen thousand, two hundred".