400420300224 has 224 divisors, whose sum is σ = 1225579829760. Its totient is φ = 113015181312.

The previous prime is 400420300223. The next prime is 400420300243. The reversal of 400420300224 is 422003024004.

400420300224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 400420300224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400420300223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50830174 + ... + 50838050.

Almost surely, 2^400420300224 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 400420300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612789914880).

400420300224 is an abundant number, since it is smaller than the sum of its proper divisors (825159529536).

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

400420300224 is a wasteful number, since it uses less digits than its factorization.

400420300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 400420300224 its reverse (422003024004), we get a palindrome (822423324228).

The spelling of 400420300224 in words is "four hundred billion, four hundred twenty million, three hundred thousand, two hundred twenty-four".