129054349440 has 1024 divisors, whose sum is σ = 503387136000. Its totient is φ = 31123243008.

The previous prime is 129054349427. The next prime is 129054349441. The reversal of 129054349440 is 44943450921.

129054349440 is a `hidden beast` number, since 1 + 2 + 90 + 5 + 434 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129054349441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1554871639 + ... + 1554871721.

It is an arithmetic number, because the mean of its divisors is an integer number (491589000).

Almost surely, 2^129054349440 is an apocalyptic number.

129054349440 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 129054349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568000).

129054349440 is an abundant number, since it is smaller than the sum of its proper divisors (374332786560).

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

129054349440 is a wasteful number, since it uses less digits than its factorization.

129054349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 129054349440 in words is "one hundred twenty-nine billion, fifty-four million, three hundred forty-nine thousand, four hundred forty".