241872376320 has 800 divisors, whose sum is σ = 903501029376. Its totient is φ = 61776691200.

The previous prime is 241872376219. The next prime is 241872376327. The reversal of 241872376320 is 23673278142.

241872376320 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 7 + 2 + 3 + 7 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (241872376327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1227778462 + ... + 1227778658.

Almost surely, 2^241872376320 is an apocalyptic number.

241872376320 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 241872376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451750514688).

241872376320 is an abundant number, since it is smaller than the sum of its proper divisors (661628653056).

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

241872376320 is a wasteful number, since it uses less digits than its factorization.

241872376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 241872376320 in words is "two hundred forty-one billion, eight hundred seventy-two million, three hundred seventy-six thousand, three hundred twenty".