1052135235440 has 80 divisors (see below), whose sum is σ = 2530849622400. Its totient is φ = 406296446976.

The previous prime is 1052135235379. The next prime is 1052135235493. The reversal of 1052135235440 is 445325312501.

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

It is a super-2 number, since 2×1052135235440² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052135235440.

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, 26876201 + ... + 26915319.

It is an arithmetic number, because the mean of its divisors is an integer number (31635620280).

Almost surely, 2^{1052135235440} is an apocalyptic number.

1052135235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052135235440 is an abundant number, since it is smaller than the sum of its proper divisors (1478714386960).

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

1052135235440 is a wasteful number, since it uses less digits than its factorization.

1052135235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50754 (or 50748 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 1052135235440 in words is "one trillion, fifty-two billion, one hundred thirty-five million, two hundred thirty-five thousand, four hundred forty".