29409292140102 has 640 divisors, whose sum is σ = 82228455936000. Its totient is φ = 7669847211264.

The previous prime is 29409292139999. The next prime is 29409292140133. The reversal of 29409292140102 is 20104129290492.

It is a happy number.

29409292140102 is a `hidden beast` number, since 2 + 9 + 409 + 2 + 92 + 140 + 10 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22501370533 + ... + 22501371839.

It is an arithmetic number, because the mean of its divisors is an integer number (128481962400).

Almost surely, 2^{29409292140102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29409292140102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41114227968000).

29409292140102 is an abundant number, since it is smaller than the sum of its proper divisors (52819163795898).

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

29409292140102 is a wasteful number, since it uses less digits than its factorization.

29409292140102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29409292140102 in words is "twenty-nine trillion, four hundred nine billion, two hundred ninety-two million, one hundred forty thousand, one hundred two".