251423040000 has 800 divisors, whose sum is σ = 945716523840. Its totient is φ = 58777600000.

The previous prime is 251423039993. The next prime is 251423040017. The reversal of 251423040000 is 40324152.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306239590 + ... + 306240410.

Almost surely, 2^251423040000 is an apocalyptic number.

251423040000 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 251423040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472858261920).

251423040000 is an abundant number, since it is smaller than the sum of its proper divisors (694293483840).

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

251423040000 is an equidigital number, since it uses as much as digits as its factorization.

251423040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 251423040000 its reverse (40324152), we get a palindrome (251463364152).

The spelling of 251423040000 in words is "two hundred fifty-one billion, four hundred twenty-three million, forty thousand".