129930877440 has 1440 divisors, whose sum is σ = 583912359360. Its totient is φ = 27293220864.

The previous prime is 129930877403. The next prime is 129930877451. The reversal of 129930877440 is 44778039921.

129930877440 is a `hidden beast` number, since 1 + 2 + 99 + 30 + 87 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 572382607 + ... + 572382833.

It is an arithmetic number, because the mean of its divisors is an integer number (405494694).

Almost surely, 2^129930877440 is an apocalyptic number.

129930877440 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 129930877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291956179680).

129930877440 is an abundant number, since it is smaller than the sum of its proper divisors (453981481920).

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

129930877440 is a wasteful number, since it uses less digits than its factorization.

129930877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 129930877440 in words is "one hundred twenty-nine billion, nine hundred thirty million, eight hundred seventy-seven thousand, four hundred forty".