1413840390144 has 384 divisors, whose sum is σ = 4695211422720. Its totient is φ = 368376348672.

The previous prime is 1413840390097. The next prime is 1413840390167. The reversal of 1413840390144 is 4410930483141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1413840390096 and 1413840390105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46390399 + ... + 46420865.

It is an arithmetic number, because the mean of its divisors is an integer number (12227113080).

Almost surely, 2^{1413840390144} is an apocalyptic number.

1413840390144 is a gapful number since it is divisible by the number (14) 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 1413840390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347605711360).

1413840390144 is an abundant number, since it is smaller than the sum of its proper divisors (3281371032576).

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

1413840390144 is a wasteful number, since it uses less digits than its factorization.

1413840390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595 (or 30575 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1413840390144 in words is "one trillion, four hundred thirteen billion, eight hundred forty million, three hundred ninety thousand, one hundred forty-four".