240403452002400 has 144 divisors (see below), whose sum is σ = 783031125800448. Its totient is φ = 64065158976000.

The previous prime is 240403452002381. The next prime is 240403452002423. The reversal of 240403452002400 is 4200254304042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29519896 + ... + 36772695.

It is an arithmetic number, because the mean of its divisors is an integer number (5437716151392).

Almost surely, 2^{240403452002400} is an apocalyptic number.

240403452002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240403452002400 is an abundant number, since it is smaller than the sum of its proper divisors (542627673798048).

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

240403452002400 is a wasteful number, since it uses less digits than its factorization.

240403452002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66294125 (or 66294112 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 240403452002400 in words is "two hundred forty trillion, four hundred three billion, four hundred fifty-two million, two thousand, four hundred".