9420783926400 has 3840 divisors, whose sum is σ = 45168829009920. Its totient is φ = 1892831846400.

The previous prime is 9420783926387. The next prime is 9420783926423. The reversal of 9420783926400 is 46293870249.

9420783926400 is a `hidden beast` number, since 9 + 4 + 207 + 8 + 3 + 9 + 26 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 113503420759 + ... + 113503420841.

It is an arithmetic number, because the mean of its divisors is an integer number (11762715888).

Almost surely, 2^{9420783926400} is an apocalyptic number.

9420783926400 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 9420783926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584414504960).

9420783926400 is an abundant number, since it is smaller than the sum of its proper divisors (35748045083520).

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

9420783926400 is a wasteful number, since it uses less digits than its factorization.

9420783926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 9420783926400 in words is "nine trillion, four hundred twenty billion, seven hundred eighty-three million, nine hundred twenty-six thousand, four hundred".