241198040678400 has 1224 divisors, whose sum is σ = 934115997499776. Its totient is φ = 59140000972800.

The previous prime is 241198040678339. The next prime is 241198040678513. The reversal of 241198040678400 is 4876040891142.

241198040678400 is a `hidden beast` number, since 2 + 4 + 1 + 198 + 0 + 40 + 6 + 7 + 8 + 400 = 666.

It is a super-2 number, since 2×241198040678400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51948746479 + ... + 51948751121.

It is an arithmetic number, because the mean of its divisors is an integer number (763166664624).

Almost surely, 2^{241198040678400} is an apocalyptic number.

241198040678400 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 241198040678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467057998749888).

241198040678400 is an abundant number, since it is smaller than the sum of its proper divisors (692917956821376).

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

241198040678400 is a wasteful number, since it uses less digits than its factorization.

241198040678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 241198040678400 in words is "two hundred forty-one trillion, one hundred ninety-eight billion, forty million, six hundred seventy-eight thousand, four hundred".