1044135126540 has 72 divisors (see below), whose sum is σ = 3455138061648. Its totient is φ = 253123666560.

The previous prime is 1044135126533. The next prime is 1044135126547. The reversal of 1044135126540 is 456215314401.

1044135126540 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 1 + 351 + 265 + 40 = 666.

1044135126540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1044135126533) and next prime (1044135126547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1044135126495 and 1044135126504.

It is not an unprimeable number, because it can be changed into a prime (1044135126547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263668507 + ... + 263672466.

It is an arithmetic number, because the mean of its divisors is an integer number (47988028634).

Almost surely, 2^{1044135126540} is an apocalyptic number.

1044135126540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044135126540 is an abundant number, since it is smaller than the sum of its proper divisors (2411002935108).

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

1044135126540 is a wasteful number, since it uses less digits than its factorization.

1044135126540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527340999 (or 527340994 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1044135126540 in words is "one trillion, forty-four billion, one hundred thirty-five million, one hundred twenty-six thousand, five hundred forty".