141171901920 has 768 divisors, whose sum is σ = 597283061760. Its totient is φ = 30457036800.

The previous prime is 141171901909. The next prime is 141171901939. The reversal of 141171901920 is 29109171141.

It is a happy number.

141171901920 is a `hidden beast` number, since 1 + 411 + 71 + 90 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 38433204 + ... + 38436876.

It is an arithmetic number, because the mean of its divisors is an integer number (777712320).

Almost surely, 2^141171901920 is an apocalyptic number.

141171901920 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 141171901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298641530880).

141171901920 is an abundant number, since it is smaller than the sum of its proper divisors (456111159840).

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

141171901920 is a wasteful number, since it uses less digits than its factorization.

141171901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 141171901920 in words is "one hundred forty-one billion, one hundred seventy-one million, nine hundred one thousand, nine hundred twenty".