29942022400 has 108 divisors (see below), whose sum is σ = 74205136852. Its totient is φ = 11961630720.

The previous prime is 29942022391. The next prime is 29942022431. The reversal of 29942022400 is 422024992.

It can be written as a sum of positive squares in 6 ways, for example, as 6784487424 + 23157534976 = 82368^2 + 152176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5994304 + ... + 5999296.

Almost surely, 2^29942022400 is an apocalyptic number.

29942022400 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 29942022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37102568426).

29942022400 is an abundant number, since it is smaller than the sum of its proper divisors (44263114452).

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

29942022400 is an equidigital number, since it uses as much as digits as its factorization.

29942022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 29942022400 in words is "twenty-nine billion, nine hundred forty-two million, twenty-two thousand, four hundred".