129745981440 has 936 divisors, whose sum is σ = 498606221568. Its totient is φ = 32328253440.

The previous prime is 129745981423. The next prime is 129745981441. The reversal of 129745981440 is 44189547921.

129745981440 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 4 + 598 + 1 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129745981441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4185354225 + ... + 4185354255.

Almost surely, 2^129745981440 is an apocalyptic number.

129745981440 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 129745981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249303110784).

129745981440 is an abundant number, since it is smaller than the sum of its proper divisors (368860240128).

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

129745981440 is an frugal number, since it uses more digits than its factorization.

129745981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 129745981440 in words is "one hundred twenty-nine billion, seven hundred forty-five million, nine hundred eighty-one thousand, four hundred forty".