29949422400 has 504 divisors, whose sum is σ = 114697849344. Its totient is φ = 7390310400.

The previous prime is 29949422333. The next prime is 29949422401. The reversal of 29949422400 is 422494992.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29949422401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10265742 + ... + 10268658.

Almost surely, 2^29949422400 is an apocalyptic number.

29949422400 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 29949422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57348924672).

29949422400 is an abundant number, since it is smaller than the sum of its proper divisors (84748426944).

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

29949422400 is a wasteful number, since it uses less digits than its factorization.

29949422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29949422400 in words is "twenty-nine billion, nine hundred forty-nine million, four hundred twenty-two thousand, four hundred".