141040972800 has 1782 divisors, whose sum is σ = 653694797574. Its totient is φ = 28798156800.

The previous prime is 141040972781. The next prime is 141040972801. The reversal of 141040972800 is 8279040141.

It can be written as a sum of positive squares in 3 ways, for example, as 433972224 + 140607000576 = 20832^2 + 374976^2 .

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 (141040972801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 4549708785 + ... + 4549708815.

Almost surely, 2^141040972800 is an apocalyptic number.

141040972800 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 141040972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326847398787).

141040972800 is an abundant number, since it is smaller than the sum of its proper divisors (512653824774).

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

141040972800 is a wasteful number, since it uses less digits than its factorization.

141040972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 141040972800 in words is "one hundred forty-one billion, forty million, nine hundred seventy-two thousand, eight hundred".