1032040413144 has 96 divisors (see below), whose sum is σ = 3014475937200. Its totient is φ = 317091144960.

The previous prime is 1032040413121. The next prime is 1032040413193. The reversal of 1032040413144 is 4413140402301.

1032040413144 is a `hidden beast` number, since 1 + 0 + 3 + 204 + 0 + 413 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151059 + ... + 1444610.

Almost surely, 2^{1032040413144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032040413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507237968600).

1032040413144 is an abundant number, since it is smaller than the sum of its proper divisors (1982435524056).

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

1032040413144 is a wasteful number, since it uses less digits than its factorization.

1032040413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596385 (or 1596378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1032040413144 its reverse (4413140402301), we get a palindrome (5445180815445).

The spelling of 1032040413144 in words is "one trillion, thirty-two billion, forty million, four hundred thirteen thousand, one hundred forty-four".