1025664432144 has 160 divisors (see below), whose sum is σ = 2986533040128. Its totient is φ = 300500928000.

The previous prime is 1025664432139. The next prime is 1025664432209. The reversal of 1025664432144 is 4412344665201.

1025664432144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1025664432096 and 1025664432105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17861559 + ... + 17918889.

Almost surely, 2^{1025664432144} 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 1025664432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493266520064).

1025664432144 is an abundant number, since it is smaller than the sum of its proper divisors (1960868607984).

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

1025664432144 is a wasteful number, since it uses less digits than its factorization.

1025664432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58477 (or 58471 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 1025664432144 in words is "one trillion, twenty-five billion, six hundred sixty-four million, four hundred thirty-two thousand, one hundred forty-four".