141018433920 has 1280 divisors, whose sum is σ = 627013094400. Its totient is φ = 29409951744.

The previous prime is 141018433889. The next prime is 141018433921. The reversal of 141018433920 is 29334810141.

141018433920 is a `hidden beast` number, since 141 + 0 + 184 + 339 + 2 + 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 not an unprimeable number, because it can be changed into a prime (141018433921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 787812391 + ... + 787812569.

It is an arithmetic number, because the mean of its divisors is an integer number (489853980).

Almost surely, 2^141018433920 is an apocalyptic number.

141018433920 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 141018433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313506547200).

141018433920 is an abundant number, since it is smaller than the sum of its proper divisors (485994660480).

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

141018433920 is a wasteful number, since it uses less digits than its factorization.

141018433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 141018433920 in words is "one hundred forty-one billion, eighteen million, four hundred thirty-three thousand, nine hundred twenty".