129411742343400 has 480 divisors, whose sum is σ = 490408091426880. Its totient is φ = 31367336832000.

The previous prime is 129411742343399. The next prime is 129411742343449. The reversal of 129411742343400 is 4343247114921.

129411742343400 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 1 + 1 + 7 + 4 + 234 + 3 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1133473117 + ... + 1133587283.

It is an arithmetic number, because the mean of its divisors is an integer number (1021683523806).

Almost surely, 2^{129411742343400} is an apocalyptic number.

129411742343400 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 129411742343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245204045713440).

129411742343400 is an abundant number, since it is smaller than the sum of its proper divisors (360996349083480).

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

129411742343400 is a wasteful number, since it uses less digits than its factorization.

129411742343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120567 (or 120549 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 129411742343400 in words is "one hundred twenty-nine trillion, four hundred eleven billion, seven hundred forty-two million, three hundred forty-three thousand, four hundred".