1419009892144 has 80 divisors (see below), whose sum is σ = 2973249949824. Its totient is φ = 652180377600.

The previous prime is 1419009892061. The next prime is 1419009892177. The reversal of 1419009892144 is 4412989009141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1419009892091 and 1419009892100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137589132 + ... + 137599444.

Almost surely, 2^{1419009892144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1419009892144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486624974912).

1419009892144 is an abundant number, since it is smaller than the sum of its proper divisors (1554240057680).

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

1419009892144 is a wasteful number, since it uses less digits than its factorization.

1419009892144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 1419009892144 in words is "one trillion, four hundred nineteen billion, nine million, eight hundred ninety-two thousand, one hundred forty-four".