252281399040 has 1728 divisors, whose sum is σ = 1067921648640. Its totient is φ = 56202854400.

The previous prime is 252281398951. The next prime is 252281399047. The reversal of 252281399040 is 40993182252.

252281399040 is a `hidden beast` number, since 2 + 522 + 8 + 1 + 39 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×252281399040³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252281399047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4135760610 + ... + 4135760670.

Almost surely, 2^252281399040 is an apocalyptic number.

252281399040 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 252281399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533960824320).

252281399040 is an abundant number, since it is smaller than the sum of its proper divisors (815640249600).

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

252281399040 is a wasteful number, since it uses less digits than its factorization.

252281399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 252281399040 in words is "two hundred fifty-two billion, two hundred eighty-one million, three hundred ninety-nine thousand, forty".