252101989440 has 1680 divisors, whose sum is σ = 1136872788480. Its totient is φ = 52672757760.

The previous prime is 252101989429. The next prime is 252101989453. The reversal of 252101989440 is 44989101252.

It is a happy number.

252101989440 is a `hidden beast` number, since 2 + 5 + 2 + 10 + 198 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 748076952 + ... + 748077288.

Almost surely, 2^252101989440 is an apocalyptic number.

252101989440 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 252101989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568436394240).

252101989440 is an abundant number, since it is smaller than the sum of its proper divisors (884770799040).

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

252101989440 is a wasteful number, since it uses less digits than its factorization.

252101989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 252101989440 in words is "two hundred fifty-two billion, one hundred one million, nine hundred eighty-nine thousand, four hundred forty".