241631149200 has 720 divisors, whose sum is σ = 939920734080. Its totient is φ = 51939532800.

The previous prime is 241631149189. The next prime is 241631149261. The reversal of 241631149200 is 2941136142.

It is a super-2 number, since 2×241631149200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298678396 + ... + 298679204.

It is an arithmetic number, because the mean of its divisors is an integer number (1305445464).

Almost surely, 2^241631149200 is an apocalyptic number.

241631149200 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 241631149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469960367040).

241631149200 is an abundant number, since it is smaller than the sum of its proper divisors (698289584880).

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

241631149200 is a wasteful number, since it uses less digits than its factorization.

241631149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 241631149200 in words is "two hundred forty-one billion, six hundred thirty-one million, one hundred forty-nine thousand, two hundred".