240961184640000 has 4400 divisors, whose sum is σ = 1039358250095616. Its totient is φ = 55041638400000.

The previous prime is 240961184639993. The next prime is 240961184640019. The reversal of 240961184640000 is 46481169042.

240961184640000 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 61 + 184 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a super-2 number, since 2×240961184640000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 760129919842 + ... + 760129920158.

Almost surely, 2^{240961184640000} is an apocalyptic number.

240961184640000 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 240961184640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519679125047808).

240961184640000 is an abundant number, since it is smaller than the sum of its proper divisors (798397065455616).

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

240961184640000 is a wasteful number, since it uses less digits than its factorization.

240961184640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 240961184640000 in words is "two hundred forty trillion, nine hundred sixty-one billion, one hundred eighty-four million, six hundred forty thousand".