251141152440 has 64 divisors (see below), whose sum is σ = 758413071360. Its totient is φ = 66527452800.

The previous prime is 251141152433. The next prime is 251141152441. The reversal of 251141152440 is 44251141152.

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

It is a junction number, because it is equal to n+sod(n) for n = 251141152398 and 251141152407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251141152441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6911824 + ... + 6948063.

It is an arithmetic number, because the mean of its divisors is an integer number (11850204240).

Almost surely, 2^251141152440 is an apocalyptic number.

251141152440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251141152440 is an abundant number, since it is smaller than the sum of its proper divisors (507271918920).

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

251141152440 is a wasteful number, since it uses less digits than its factorization.

251141152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860052 (or 13860048 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 251141152440 its reverse (44251141152), we get a palindrome (295392293592).

The spelling of 251141152440 in words is "two hundred fifty-one billion, one hundred forty-one million, one hundred fifty-two thousand, four hundred forty".