9121064400 has 960 divisors, whose sum is σ = 40385986560. Its totient is φ = 1907712000.

The previous prime is 9121064387. The next prime is 9121064413. The reversal of 9121064400 is 44601219.

9121064400 is a `hidden beast` number, since 9 + 1 + 2 + 10 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9121064387) and next prime (9121064413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60404325 + ... + 60404475.

It is an arithmetic number, because the mean of its divisors is an integer number (42068736).

Almost surely, 2^9121064400 is an apocalyptic number.

9121064400 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 9121064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192993280).

9121064400 is an abundant number, since it is smaller than the sum of its proper divisors (31264922160).

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

9121064400 is a wasteful number, since it uses less digits than its factorization.

9121064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9121064400 is about 95504.2637791633. The cubic root of 9121064400 is about 2089.3691311111.

Adding to 9121064400 its reverse (44601219), we get a palindrome (9165665619).

The spelling of 9121064400 in words is "nine billion, one hundred twenty-one million, sixty-four thousand, four hundred".