252420133440 has 112 divisors (see below), whose sum is σ = 802773705600. Its totient is φ = 67199508480.

The previous prime is 252420133417. The next prime is 252420133447. The reversal of 252420133440 is 44331024252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252420133398 and 252420133407.

It is not an unprimeable number, because it can be changed into a prime (252420133447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355560 + ... + 794520.

Almost surely, 2^252420133440 is an apocalyptic number.

252420133440 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 252420133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401386852800).

252420133440 is an abundant number, since it is smaller than the sum of its proper divisors (550353572160).

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

252420133440 is a wasteful number, since it uses less digits than its factorization.

252420133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439580 (or 439570 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 252420133440 its reverse (44331024252), we get a palindrome (296751157692).

The spelling of 252420133440 in words is "two hundred fifty-two billion, four hundred twenty million, one hundred thirty-three thousand, four hundred forty".