241554314151040 has 128 divisors (see below), whose sum is σ = 629969508112320. Its totient is φ = 87836979179520.

The previous prime is 241554314151001. The next prime is 241554314151043. The reversal of 241554314151040 is 40151413455142.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 241554314150984 and 241554314151002.

It is not an unprimeable number, because it can be changed into a prime (241554314151043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178654019 + ... + 1178858941.

Almost surely, 2^{241554314151040} is an apocalyptic number.

241554314151040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241554314151040 is an abundant number, since it is smaller than the sum of its proper divisors (388415193961280).

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

241554314151040 is a wasteful number, since it uses less digits than its factorization.

241554314151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372390 (or 372378 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 241554314151040 in words is "two hundred forty-one trillion, five hundred fifty-four billion, three hundred fourteen million, one hundred fifty-one thousand, forty".