9142394607360 has 1152 divisors, whose sum is σ = 39353900544000. Its totient is φ = 1961990553600.

The previous prime is 9142394607349. The next prime is 9142394607403. The reversal of 9142394607360 is 637064932419.

It is a happy number.

9142394607360 is a `hidden beast` number, since 9 + 1 + 4 + 23 + 9 + 4 + 607 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 9142394607297 and 9142394607306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1846572885 + ... + 1846577835.

It is an arithmetic number, because the mean of its divisors is an integer number (34161372000).

Almost surely, 2^{9142394607360} is an apocalyptic number.

9142394607360 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 9142394607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676950272000).

9142394607360 is an abundant number, since it is smaller than the sum of its proper divisors (30211505936640).

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

9142394607360 is a wasteful number, since it uses less digits than its factorization.

9142394607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 9142394607360 in words is "nine trillion, one hundred forty-two billion, three hundred ninety-four million, six hundred seven thousand, three hundred sixty".