252202053121440 has 192 divisors, whose sum is σ = 813187213888896. Its totient is φ = 65667576102912.

The previous prime is 252202053121439. The next prime is 252202053121523. The reversal of 252202053121440 is 44121350202252.

It is a super-4 number, since 4×252202053121440⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 58880992 + ... + 63018848.

It is an arithmetic number, because the mean of its divisors is an integer number (4235350072338).

Almost surely, 2^{252202053121440} is an apocalyptic number.

252202053121440 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 252202053121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406593606944448).

252202053121440 is an abundant number, since it is smaller than the sum of its proper divisors (560985160767456).

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

252202053121440 is a wasteful number, since it uses less digits than its factorization.

252202053121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140871 (or 4140863 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 252202053121440 in words is "two hundred fifty-two trillion, two hundred two billion, fifty-three million, one hundred twenty-one thousand, four hundred forty".