240240379241600 has 384 divisors, whose sum is σ = 633797867078400. Its totient is φ = 89715322552320.

The previous prime is 240240379241573. The next prime is 240240379241677. The reversal of 240240379241600 is 6142973042042.

It is a happy number.

240240379241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5383756889 + ... + 5383801511.

It is an arithmetic number, because the mean of its divisors is an integer number (1650515278850).

Almost surely, 2^{240240379241600} is an apocalyptic number.

240240379241600 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 240240379241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316898933539200).

240240379241600 is an abundant number, since it is smaller than the sum of its proper divisors (393557487836800).

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

240240379241600 is a wasteful number, since it uses less digits than its factorization.

240240379241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45952 (or 45935 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 240240379241600 in words is "two hundred forty trillion, two hundred forty billion, three hundred seventy-nine million, two hundred forty-one thousand, six hundred".