129653291040 has 576 divisors, whose sum is σ = 510550822656. Its totient is φ = 26932248576.

The previous prime is 129653291011. The next prime is 129653291123. The reversal of 129653291040 is 40192356921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 129653290983 and 129653291001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232770442 + ... + 232770998.

It is an arithmetic number, because the mean of its divisors is an integer number (886372956).

Almost surely, 2^129653291040 is an apocalyptic number.

129653291040 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 129653291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255275411328).

129653291040 is an abundant number, since it is smaller than the sum of its proper divisors (380897531616).

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

129653291040 is a wasteful number, since it uses less digits than its factorization.

129653291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 129653291040 in words is "one hundred twenty-nine billion, six hundred fifty-three million, two hundred ninety-one thousand, forty".