9402065442000 has 1600 divisors, whose sum is σ = 44183191523328. Its totient is φ = 1868676480000.

The previous prime is 9402065441983. The next prime is 9402065442013. The reversal of 9402065442000 is 2445602049.

9402065442000 is a `hidden beast` number, since 9 + 4 + 0 + 206 + 5 + 442 + 0 + 0 + 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 319 ways as a sum of consecutive naturals, for example, 286885615 + ... + 286918385.

Almost surely, 2^{9402065442000} is an apocalyptic number.

9402065442000 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 9402065442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22091595761664).

9402065442000 is an abundant number, since it is smaller than the sum of its proper divisors (34781126081328).

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

9402065442000 is a wasteful number, since it uses less digits than its factorization.

9402065442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32847 (or 32822 counting only the distinct ones).

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

The spelling of 9402065442000 in words is "nine trillion, four hundred two billion, sixty-five million, four hundred forty-two thousand".