400022002224 has 240 divisors, whose sum is σ = 1264416393600. Its totient is φ = 120996225792.

The previous prime is 400022002181. The next prime is 400022002249. The reversal of 400022002224 is 422200220004.

400022002224 is a `hidden beast` number, since 400 + 0 + 220 + 0 + 22 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400022002197 and 400022002206.

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, 4261039 + ... + 4353905.

It is an arithmetic number, because the mean of its divisors is an integer number (5268401640).

Almost surely, 2^400022002224 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 400022002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632208196800).

400022002224 is an abundant number, since it is smaller than the sum of its proper divisors (864394391376).

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

400022002224 is a wasteful number, since it uses less digits than its factorization.

400022002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92969 (or 92944 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400022002224 its reverse (422200220004), we get a palindrome (822222222228).

The spelling of 400022002224 in words is "four hundred billion, twenty-two million, two thousand, two hundred twenty-four".