141628331520 has 960 divisors, whose sum is σ = 557020848384. Its totient is φ = 34279096320.

The previous prime is 141628331497. The next prime is 141628331527. The reversal of 141628331520 is 25133826141.

141628331520 is a `hidden beast` number, since 1 + 4 + 1 + 628 + 3 + 3 + 1 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (141628331527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671224215 + ... + 671224425.

Almost surely, 2^141628331520 is an apocalyptic number.

141628331520 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 141628331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278510424192).

141628331520 is an abundant number, since it is smaller than the sum of its proper divisors (415392516864).

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

141628331520 is an equidigital number, since it uses as much as digits as its factorization.

141628331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 141628331520 in words is "one hundred forty-one billion, six hundred twenty-eight million, three hundred thirty-one thousand, five hundred twenty".