9042196800 has 672 divisors, whose sum is σ = 37025185792. Its totient is φ = 1881169920.

The previous prime is 9042196771. The next prime is 9042196817. The reversal of 9042196800 is 86912409.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9042196800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 55473519 + ... + 55473681.

Almost surely, 2^9042196800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18512592896).

9042196800 is an abundant number, since it is smaller than the sum of its proper divisors (27982988992).

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

9042196800 is a wasteful number, since it uses less digits than its factorization.

9042196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9042196800 is about 95090.4663991086. The cubic root of 9042196800 is about 2083.3296031222.

The spelling of 9042196800 in words is "nine billion, forty-two million, one hundred ninety-six thousand, eight hundred".