1052406416144 has 40 divisors (see below), whose sum is σ = 2146480220640. Its totient is φ = 498479263488.

The previous prime is 1052406416119. The next prime is 1052406416167. The reversal of 1052406416144 is 4416146042501.

It is a super-2 number, since 2×1052406416144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1052406416098 and 1052406416107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5668532 + ... + 5851244.

It is an arithmetic number, because the mean of its divisors is an integer number (53662005516).

Almost surely, 2^{1052406416144} is an apocalyptic number.

It is an amenable number.

1052406416144 is an abundant number, since it is smaller than the sum of its proper divisors (1094073804496).

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

1052406416144 is a wasteful number, since it uses less digits than its factorization.

1052406416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201687 (or 201681 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 1052406416144 in words is "one trillion, fifty-two billion, four hundred six million, four hundred sixteen thousand, one hundred forty-four".