240076142664 has 128 divisors (see below), whose sum is σ = 638487014400. Its totient is φ = 75012860160.

The previous prime is 240076142651. The next prime is 240076142729. The reversal of 240076142664 is 466241670042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16638157 + ... + 16652579.

It is an arithmetic number, because the mean of its divisors is an integer number (4988179800).

Almost surely, 2^240076142664 is an apocalyptic number.

240076142664 is a gapful number since it is divisible by the number (24) 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 240076142664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319243507200).

240076142664 is an abundant number, since it is smaller than the sum of its proper divisors (398410871736).

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

240076142664 is a wasteful number, since it uses less digits than its factorization.

240076142664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 240076142664 in words is "two hundred forty billion, seventy-six million, one hundred forty-two thousand, six hundred sixty-four".