9149414400 has 1056 divisors, whose sum is σ = 40287580160. Its totient is φ = 1990656000.

The previous prime is 9149414389. The next prime is 9149414509. The reversal of 9149414400 is 44149419.

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

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, 149990370 + ... + 149990430.

Almost surely, 2^9149414400 is an apocalyptic number.

9149414400 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 9149414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143790080).

9149414400 is an abundant number, since it is smaller than the sum of its proper divisors (31138165760).

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

9149414400 is a wasteful number, since it uses less digits than its factorization.

9149414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9149414400 is about 95652.5713193326. The cubic root of 9149414400 is about 2091.5316108485.

The spelling of 9149414400 in words is "nine billion, one hundred forty-nine million, four hundred fourteen thousand, four hundred".