240523276376320 has 576 divisors, whose sum is σ = 697249018368000. Its totient is φ = 77656645140480.

The previous prime is 240523276376291. The next prime is 240523276376333. The reversal of 240523276376320 is 23673672325042.

It is a super-2 number, since 2×240523276376320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31861603906 + ... + 31861611454.

It is an arithmetic number, because the mean of its divisors is an integer number (1210501768000).

Almost surely, 2^{240523276376320} is an apocalyptic number.

240523276376320 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 240523276376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348624509184000).

240523276376320 is an abundant number, since it is smaller than the sum of its proper divisors (456725741991680).

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

240523276376320 is a wasteful number, since it uses less digits than its factorization.

240523276376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 52.

The spelling of 240523276376320 in words is "two hundred forty trillion, five hundred twenty-three billion, two hundred seventy-six million, three hundred seventy-six thousand, three hundred twenty".