251402251604640 has 192 divisors, whose sum is σ = 794774487386880. Its totient is φ = 66799061360640.

The previous prime is 251402251604627. The next prime is 251402251604641. The reversal of 251402251604640 is 46406152204152.

It is a super-2 number, since 2×251402251604640² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251402251604592 and 251402251604601.

It is not an unprimeable number, because it can be changed into a prime (251402251604641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179862060 + ... + 181254420.

It is an arithmetic number, because the mean of its divisors is an integer number (4139450455140).

Almost surely, 2^{251402251604640} is an apocalyptic number.

251402251604640 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 251402251604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397387243693440).

251402251604640 is an abundant number, since it is smaller than the sum of its proper divisors (543372235782240).

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

251402251604640 is a wasteful number, since it uses less digits than its factorization.

251402251604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393735 (or 1393727 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 251402251604640 in words is "two hundred fifty-one trillion, four hundred two billion, two hundred fifty-one million, six hundred four thousand, six hundred forty".