1004331142320 has 160 divisors (see below), whose sum is σ = 3479306310144. Its totient is φ = 237535795200.

The previous prime is 1004331142319. The next prime is 1004331142357. The reversal of 1004331142320 is 232411334001.

It is a happy number.

1004331142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4531132 + ... + 4747611.

Almost surely, 2^{1004331142320} is an apocalyptic number.

1004331142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004331142320 is an abundant number, since it is smaller than the sum of its proper divisors (2474975167824).

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

1004331142320 is a wasteful number, since it uses less digits than its factorization.

1004331142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278811 (or 9278805 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1004331142320 its reverse (232411334001), we get a palindrome (1236742476321).

The spelling of 1004331142320 in words is "one trillion, four billion, three hundred thirty-one million, one hundred forty-two thousand, three hundred twenty".