241405925040 has 480 divisors, whose sum is σ = 961136816640. Its totient is φ = 53153501184.

The previous prime is 241405925023. The next prime is 241405925063. The reversal of 241405925040 is 40529504142.

It is a happy number.

241405925040 is a `hidden beast` number, since 2 + 4 + 14 + 0 + 592 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241405924986 and 241405925004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15812931 + ... + 15828189.

It is an arithmetic number, because the mean of its divisors is an integer number (2002368368).

Almost surely, 2^241405925040 is an apocalyptic number.

241405925040 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 241405925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480568408320).

241405925040 is an abundant number, since it is smaller than the sum of its proper divisors (719730891600).

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

241405925040 is a wasteful number, since it uses less digits than its factorization.

241405925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 241405925040 in words is "two hundred forty-one billion, four hundred five million, nine hundred twenty-five thousand, forty".