1214790716160 has 864 divisors, whose sum is σ = 5014187418240. Its totient is φ = 265661448192.

The previous prime is 1214790716147. The next prime is 1214790716171. The reversal of 1214790716160 is 616170974121.

1214790716160 is a `hidden beast` number, since 1 + 2 + 1 + 479 + 0 + 7 + 16 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264254982 + ... + 264259578.

It is an arithmetic number, because the mean of its divisors is an integer number (5803457660).

Almost surely, 2^{1214790716160} is an apocalyptic number.

1214790716160 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 1214790716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507093709120).

1214790716160 is an abundant number, since it is smaller than the sum of its proper divisors (3799396702080).

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

1214790716160 is a wasteful number, since it uses less digits than its factorization.

1214790716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1214790716160 in words is "one trillion, two hundred fourteen billion, seven hundred ninety million, seven hundred sixteen thousand, one hundred sixty".