1053846311440 has 80 divisors (see below), whose sum is σ = 2681926064496. Its totient is φ = 382733568000.

The previous prime is 1053846311431. The next prime is 1053846311447. The reversal of 1053846311440 is 441136483501.

It can be written as a sum of positive squares in 8 ways, for example, as 159437295616 + 894409015824 = 399296^2 + 945732^2 .

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

It is a super-2 number, since 2×1053846311440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1053846311393 and 1053846311402.

It is not an unprimeable number, because it can be changed into a prime (1053846311447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8242411 + ... + 8369290.

Almost surely, 2^{1053846311440} is an apocalyptic number.

1053846311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053846311440 is an abundant number, since it is smaller than the sum of its proper divisors (1628079753056).

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

1053846311440 is a wasteful number, since it uses less digits than its factorization.

1053846311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16611788 (or 16611782 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 1053846311440 in words is "one trillion, fifty-three billion, eight hundred forty-six million, three hundred eleven thousand, four hundred forty".