240872486400 has 2880 divisors, whose sum is σ = 1179102532608. Its totient is φ = 47297986560.

The previous prime is 240872486383. The next prime is 240872486411. The reversal of 240872486400 is 4684278042.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6510067182 + ... + 6510067218.

Almost surely, 2^240872486400 is an apocalyptic number.

240872486400 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 240872486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589551266304).

240872486400 is an abundant number, since it is smaller than the sum of its proper divisors (938230046208).

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

240872486400 is a wasteful number, since it uses less digits than its factorization.

240872486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 240872486400 in words is "two hundred forty billion, eight hundred seventy-two million, four hundred eighty-six thousand, four hundred".