241533455152000 has 256 divisors, whose sum is σ = 655544100369600. Its totient is φ = 87771423744000.

The previous prime is 241533455151907. The next prime is 241533455152009. The reversal of 241533455152000 is 251554335142.

It is a super-3 number, since 3×241533455152000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241533455152009) 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, 262308406 + ... + 263227594.

Almost surely, 2^{241533455152000} is an apocalyptic number.

241533455152000 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 241533455152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327772050184800).

241533455152000 is an abundant number, since it is smaller than the sum of its proper divisors (414010645217600).

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

241533455152000 is a wasteful number, since it uses less digits than its factorization.

241533455152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920722 (or 920700 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 241533455152000 in words is "two hundred forty-one trillion, five hundred thirty-three billion, four hundred fifty-five million, one hundred fifty-two thousand".