9402045206400 has 1728 divisors, whose sum is σ = 42894257337360. Its totient is φ = 1938972672000.

The previous prime is 9402045206357. The next prime is 9402045206417. The reversal of 9402045206400 is 46025402049.

9402045206400 is a `hidden beast` number, since 9 + 4 + 0 + 2 + 0 + 4 + 5 + 2 + 0 + 640 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 2126676190 + ... + 2126680610.

Almost surely, 2^{9402045206400} is an apocalyptic number.

9402045206400 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 9402045206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447128668680).

9402045206400 is an abundant number, since it is smaller than the sum of its proper divisors (33492212130960).

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

9402045206400 is a wasteful number, since it uses less digits than its factorization.

9402045206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 9402045206400 in words is "nine trillion, four hundred two billion, forty-five million, two hundred six thousand, four hundred".