1014360990720 has 704 divisors, whose sum is σ = 4057894195200. Its totient is φ = 210101207040.

The previous prime is 1014360990719. The next prime is 1014360990793. The reversal of 1014360990720 is 270990634101.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×1014360990720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424595286 + ... + 424597674.

Almost surely, 2^{1014360990720} is an apocalyptic number.

1014360990720 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 1014360990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028947097600).

1014360990720 is an abundant number, since it is smaller than the sum of its proper divisors (3043533204480).

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

1014360990720 is a wasteful number, since it uses less digits than its factorization.

1014360990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 1014360990720 in words is "one trillion, fourteen billion, three hundred sixty million, nine hundred ninety thousand, seven hundred twenty".