241646614240 has 192 divisors, whose sum is σ = 624577806720. Its totient is φ = 87995514880.

The previous prime is 241646614211. The next prime is 241646614249. The reversal of 241646614240 is 42416646142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241646614193 and 241646614202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241646614249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10223556 + ... + 10247164.

It is an arithmetic number, because the mean of its divisors is an integer number (3253009410).

Almost surely, 2^241646614240 is an apocalyptic number.

241646614240 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 241646614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312288903360).

241646614240 is an abundant number, since it is smaller than the sum of its proper divisors (382931192480).

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

241646614240 is a wasteful number, since it uses less digits than its factorization.

241646614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23765 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 241646614240 in words is "two hundred forty-one billion, six hundred forty-six million, six hundred fourteen thousand, two hundred forty".