251311426007040 has 624 divisors, whose sum is σ = 995724127689408. Its totient is φ = 57432587894784.

The previous prime is 251311426007003. The next prime is 251311426007071. The reversal of 251311426007040 is 40700624113152.

251311426007040 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 1 + 1 + 4 + 2 + 600 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 251311426006986 and 251311426007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9414867934 + ... + 9414894626.

It is an arithmetic number, because the mean of its divisors is an integer number (1595711743092).

Almost surely, 2^{251311426007040} is an apocalyptic number.

251311426007040 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 251311426007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497862063844704).

251311426007040 is an abundant number, since it is smaller than the sum of its proper divisors (744412701682368).

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

251311426007040 is a wasteful number, since it uses less digits than its factorization.

251311426007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34032 (or 34007 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 251311426007040 in words is "two hundred fifty-one trillion, three hundred eleven billion, four hundred twenty-six million, seven thousand, forty".