141002641920 has 1280 divisors, whose sum is σ = 576740229120. Its totient is φ = 28665446400.

The previous prime is 141002641919. The next prime is 141002641931. The reversal of 141002641920 is 29146200141.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1931543004 + ... + 1931543076.

It is an arithmetic number, because the mean of its divisors is an integer number (450578304).

Almost surely, 2^141002641920 is an apocalyptic number.

141002641920 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 141002641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288370114560).

141002641920 is an abundant number, since it is smaller than the sum of its proper divisors (435737587200).

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

141002641920 is a wasteful number, since it uses less digits than its factorization.

141002641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 141002641920 in words is "one hundred forty-one billion, two million, six hundred forty-one thousand, nine hundred twenty".