400204424400 has 120 divisors (see below), whose sum is σ = 1398532598304. Its totient is φ = 97019251200.

The previous prime is 400204424381. The next prime is 400204424437. The reversal of 400204424400 is 4424402004.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 15146059 + ... + 15172458.

Almost surely, 2^400204424400 is an apocalyptic number.

400204424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400204424400 is an abundant number, since it is smaller than the sum of its proper divisors (998328173904).

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

400204424400 is a wasteful number, since it uses less digits than its factorization.

400204424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30318549 (or 30318538 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400204424400 its reverse (4424402004), we get a palindrome (404628826404).

The spelling of 400204424400 in words is "four hundred billion, two hundred four million, four hundred twenty-four thousand, four hundred".