9402124989312 has 1536 divisors, whose sum is σ = 33995287872000. Its totient is φ = 2554210713600.

The previous prime is 9402124989311. The next prime is 9402124989371. The reversal of 9402124989312 is 2139894212049.

It is a happy number.

9402124989312 is a `hidden beast` number, since 9 + 4 + 0 + 2 + 1 + 249 + 89 + 312 = 666.

It is a super-2 number, since 2×9402124989312² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9402124989311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9991630762 + ... + 9991631702.

It is an arithmetic number, because the mean of its divisors is an integer number (22132348875).

Almost surely, 2^{9402124989312} 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 9402124989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997643936000).

9402124989312 is an abundant number, since it is smaller than the sum of its proper divisors (24593162882688).

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

9402124989312 is a wasteful number, since it uses less digits than its factorization.

9402124989312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 9402124989312 in words is "nine trillion, four hundred two billion, one hundred twenty-four million, nine hundred eighty-nine thousand, three hundred twelve".