240628238720 has 128 divisors (see below), whose sum is σ = 592698695040. Its totient is φ = 93368418304.

The previous prime is 240628238701. The next prime is 240628238771. The reversal of 240628238720 is 27832826042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3363644 + ... + 3434436.

It is an arithmetic number, because the mean of its divisors is an integer number (4630458555).

Almost surely, 2^240628238720 is an apocalyptic number.

240628238720 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 240628238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296349347520).

240628238720 is an abundant number, since it is smaller than the sum of its proper divisors (352070456320).

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

240628238720 is a wasteful number, since it uses less digits than its factorization.

240628238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70972 (or 70960 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 240628238720 in words is "two hundred forty billion, six hundred twenty-eight million, two hundred thirty-eight thousand, seven hundred twenty".