129821144040 has 768 divisors, whose sum is σ = 518889369600. Its totient is φ = 28277475840.

The previous prime is 129821144003. The next prime is 129821144083. The reversal of 129821144040 is 40441128921.

129821144040 is a `hidden beast` number, since 129 + 82 + 11 + 440 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129821143986 and 129821144004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777372037 + ... + 777372203.

It is an arithmetic number, because the mean of its divisors is an integer number (675637200).

Almost surely, 2^129821144040 is an apocalyptic number.

129821144040 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 129821144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259444684800).

129821144040 is an abundant number, since it is smaller than the sum of its proper divisors (389068225560).

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

129821144040 is a wasteful number, since it uses less digits than its factorization.

129821144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 129821144040 in words is "one hundred twenty-nine billion, eight hundred twenty-one million, one hundred forty-four thousand, forty".