1074214510920 has 48 divisors (see below), whose sum is σ = 3491197161660. Its totient is φ = 286457202816.

The previous prime is 1074214510871. The next prime is 1074214511021. The reversal of 1074214510920 is 290154124701.

1074214510920 is a `hidden beast` number, since 1 + 0 + 7 + 42 + 14 + 510 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1065779557956 + 8434952964 = 1032366^2 + 91842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1491964239 + ... + 1491964958.

Almost surely, 2^{1074214510920} is an apocalyptic number.

1074214510920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074214510920 is an abundant number, since it is smaller than the sum of its proper divisors (2416982650740).

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

1074214510920 is a wasteful number, since it uses less digits than its factorization.

1074214510920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983929214 (or 2983929207 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1074214510920 in words is "one trillion, seventy-four billion, two hundred fourteen million, five hundred ten thousand, nine hundred twenty".