129930766867440 has 2560 divisors, whose sum is σ = 614941029826560. Its totient is φ = 24588748800000.

The previous prime is 129930766867373. The next prime is 129930766867459. The reversal of 129930766867440 is 44768667039921.

It is a happy number.

129930766867440 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 30 + 76 + 6 + 86 + 7 + 440 = 666.

It is a super-2 number, since 2×129930766867440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10605721315 + ... + 10605733565.

It is an arithmetic number, because the mean of its divisors is an integer number (240211339776).

Almost surely, 2^{129930766867440} is an apocalyptic number.

129930766867440 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 129930766867440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307470514913280).

129930766867440 is an abundant number, since it is smaller than the sum of its proper divisors (485010262959120).

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

129930766867440 is a wasteful number, since it uses less digits than its factorization.

129930766867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 129930766867440 in words is "one hundred twenty-nine trillion, nine hundred thirty billion, seven hundred sixty-six million, eight hundred sixty-seven thousand, four hundred forty".