29400829920 has 576 divisors, whose sum is σ = 127472776704. Its totient is φ = 5992796160.

The previous prime is 29400829907. The next prime is 29400829937. The reversal of 29400829920 is 2992800492.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5874139 + ... + 5879141.

It is an arithmetic number, because the mean of its divisors is an integer number (221306904).

Almost surely, 2^29400829920 is an apocalyptic number.

29400829920 is a gapful number since it is divisible by the number (20) 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 29400829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63736388352).

29400829920 is an abundant number, since it is smaller than the sum of its proper divisors (98071946784).

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

29400829920 is a wasteful number, since it uses less digits than its factorization.

29400829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5084 counting only the distinct ones).

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

The spelling of 29400829920 in words is "twenty-nine billion, four hundred million, eight hundred twenty-nine thousand, nine hundred twenty".