9929012400 has 450 divisors, whose sum is σ = 37807604340. Its totient is φ = 2488631040.

The previous prime is 9929012377. The next prime is 9929012411. The reversal of 9929012400 is 42109299.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 78181137 + ... + 78181263.

Almost surely, 2^9929012400 is an apocalyptic number.

9929012400 is a gapful number since it is divisible by the number (90) 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 9929012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903802170).

9929012400 is an abundant number, since it is smaller than the sum of its proper divisors (27878591940).

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

9929012400 is a wasteful number, since it uses less digits than its factorization.

9929012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9929012400 is about 99644.4298493398. The cubic root of 9929012400 is about 2149.3246409518.

The spelling of 9929012400 in words is "nine billion, nine hundred twenty-nine million, twelve thousand, four hundred".