251423034020040 has 256 divisors, whose sum is σ = 784940879923200. Its totient is φ = 64374994073600.

The previous prime is 251423034020003. The next prime is 251423034020069. The reversal of 251423034020040 is 40020430324152.

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, 196027951 + ... + 197306369.

It is an arithmetic number, because the mean of its divisors is an integer number (3066175312200).

Almost surely, 2^{251423034020040} is an apocalyptic number.

251423034020040 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 251423034020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392470439961600).

251423034020040 is an abundant number, since it is smaller than the sum of its proper divisors (533517845903160).

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

251423034020040 is a wasteful number, since it uses less digits than its factorization.

251423034020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279108 (or 1279104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 251423034020040 its reverse (40020430324152), we get a palindrome (291443464344192).

The spelling of 251423034020040 in words is "two hundred fifty-one trillion, four hundred twenty-three billion, thirty-four million, twenty thousand, forty".