240196330752000 has 1536 divisors, whose sum is σ = 930439183564800. Its totient is φ = 53881798656000.

The previous prime is 240196330751939. The next prime is 240196330752011. The reversal of 240196330752000 is 257033691042.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91225342684 + ... + 91225345316.

It is an arithmetic number, because the mean of its divisors is an integer number (605754676800).

Almost surely, 2^{240196330752000} is an apocalyptic number.

240196330752000 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 240196330752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465219591782400).

240196330752000 is an abundant number, since it is smaller than the sum of its proper divisors (690242852812800).

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

240196330752000 is a wasteful number, since it uses less digits than its factorization.

240196330752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 240196330752000 in words is "two hundred forty trillion, one hundred ninety-six billion, three hundred thirty million, seven hundred fifty-two thousand".