141680448000 has 2560 divisors, whose sum is σ = 694935521280. Its totient is φ = 27603763200.

The previous prime is 141680447969. The next prime is 141680448011. The reversal of 141680448000 is 844086141.

141680448000 is a `hidden beast` number, since 14 + 168 + 0 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 2673215974 + ... + 2673216026.

It is an arithmetic number, because the mean of its divisors is an integer number (271459188).

Almost surely, 2^141680448000 is an apocalyptic number.

141680448000 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 141680448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347467760640).

141680448000 is an abundant number, since it is smaller than the sum of its proper divisors (553255073280).

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

141680448000 is a wasteful number, since it uses less digits than its factorization.

141680448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 141680448000 in words is "one hundred forty-one billion, six hundred eighty million, four hundred forty-eight thousand".