1533052405440 has 112 divisors (see below), whose sum is σ = 5408268238560. Its totient is φ = 408813972480.

The previous prime is 1533052405397. The next prime is 1533052405457. The reversal of 1533052405440 is 445042503351.

1533052405440 is a `hidden beast` number, since 1 + 53 + 30 + 524 + 0 + 54 + 4 + 0 = 666.

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 = 1533052405395 and 1533052405404.

It is an unprimeable number.

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, 88709671 + ... + 88726950.

Almost surely, 2^{1533052405440} is an apocalyptic number.

1533052405440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1533052405440 is an abundant number, since it is smaller than the sum of its proper divisors (3875215833120).

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

1533052405440 is a wasteful number, since it uses less digits than its factorization.

1533052405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177436647 (or 177436631 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 1533052405440 its reverse (445042503351), we get a palindrome (1978094908791).

The spelling of 1533052405440 in words is "one trillion, five hundred thirty-three billion, fifty-two million, four hundred five thousand, four hundred forty".