251422404420 has 192 divisors, whose sum is σ = 788321673216. Its totient is φ = 59349803520.

The previous prime is 251422404391. The next prime is 251422404439. The reversal of 251422404420 is 24404224152.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6090369 + ... + 6131511.

It is an arithmetic number, because the mean of its divisors is an integer number (4105842048).

Almost surely, 2^251422404420 is an apocalyptic number.

251422404420 is a gapful number since it is divisible by the number (20) 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 251422404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394160836608).

251422404420 is an abundant number, since it is smaller than the sum of its proper divisors (536899268796).

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

251422404420 is a wasteful number, since it uses less digits than its factorization.

251422404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41408 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 251422404420 its reverse (24404224152), we get a palindrome (275826628572).

The spelling of 251422404420 in words is "two hundred fifty-one billion, four hundred twenty-two million, four hundred four thousand, four hundred twenty".