9402128306400 has 144 divisors (see below), whose sum is σ = 30610612295424. Its totient is φ = 2506686574080.

The previous prime is 9402128306399. The next prime is 9402128306429. The reversal of 9402128306400 is 46038212049.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10621657 + ... + 11472743.

It is an arithmetic number, because the mean of its divisors is an integer number (212573696496).

Almost surely, 2^{9402128306400} 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 9402128306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305306147712).

9402128306400 is an abundant number, since it is smaller than the sum of its proper divisors (21208483989024).

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

9402128306400 is a wasteful number, since it uses less digits than its factorization.

9402128306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855713 (or 855700 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 9402128306400 in words is "nine trillion, four hundred two billion, one hundred twenty-eight million, three hundred six thousand, four hundred".