141901156768800 has 2592 divisors, whose sum is σ = 592312502073600. Its totient is φ = 29374932787200.

The previous prime is 141901156768783. The next prime is 141901156768837. The reversal of 141901156768800 is 8867651109141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 40096397431 + ... + 40096400969.

It is an arithmetic number, because the mean of its divisors is an integer number (228515625800).

Almost surely, 2^{141901156768800} is an apocalyptic number.

141901156768800 is a gapful number since it is divisible by the number (10) 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 141901156768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296156251036800).

141901156768800 is an abundant number, since it is smaller than the sum of its proper divisors (450411345304800).

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

141901156768800 is a wasteful number, since it uses less digits than its factorization.

141901156768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 141901156768800 in words is "one hundred forty-one trillion, nine hundred one billion, one hundred fifty-six million, seven hundred sixty-eight thousand, eight hundred".