9925934400 has 840 divisors, whose sum is σ = 40015668000. Its totient is φ = 2403717120.

The previous prime is 9925934399. The next prime is 9925934467. The reversal of 9925934400 is 44395299.

It is a happy number.

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 119 ways as a sum of consecutive naturals, for example, 71409531 + ... + 71409669.

It is an arithmetic number, because the mean of its divisors is an integer number (47637700).

Almost surely, 2^9925934400 is an apocalyptic number.

9925934400 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 9925934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007834000).

9925934400 is an abundant number, since it is smaller than the sum of its proper divisors (30089733600).

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

9925934400 is a wasteful number, since it uses less digits than its factorization.

9925934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 9925934400 is about 99628.9837346542. The cubic root of 9925934400 is about 2149.1025206740.

The spelling of 9925934400 in words is "nine billion, nine hundred twenty-five million, nine hundred thirty-four thousand, four hundred".