10420157079360 has 1120 divisors, whose sum is σ = 42719508615168. Its totient is φ = 2361725890560.

The previous prime is 10420157079341. The next prime is 10420157079389. The reversal of 10420157079360 is 6397075102401.

10420157079360 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 1 + 570 + 79 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17751544987 + ... + 17751545573.

Almost surely, 2^{10420157079360} is an apocalyptic number.

10420157079360 is a gapful number since it is divisible by the number (10) 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 10420157079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359754307584).

10420157079360 is an abundant number, since it is smaller than the sum of its proper divisors (32299351535808).

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

10420157079360 is a wasteful number, since it uses less digits than its factorization.

10420157079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10420157079360 in words is "ten trillion, four hundred twenty billion, one hundred fifty-seven million, seventy-nine thousand, three hundred sixty".