1053406211440 has 80 divisors (see below), whose sum is σ = 2672004516480. Its totient is φ = 383030524160.

The previous prime is 1053406211423. The next prime is 1053406211479. The reversal of 1053406211440 is 441126043501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1053406211440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16641771 + ... + 16704949.

It is an arithmetic number, because the mean of its divisors is an integer number (33400056456).

Almost surely, 2^{1053406211440} is an apocalyptic number.

1053406211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053406211440 is an abundant number, since it is smaller than the sum of its proper divisors (1618598305040).

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

1053406211440 is a wasteful number, since it uses less digits than its factorization.

1053406211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82150 (or 82144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 1053406211440 in words is "one trillion, fifty-three billion, four hundred six million, two hundred eleven thousand, four hundred forty".