1002032032320 has 672 divisors, whose sum is σ = 3818843832960. Its totient is φ = 239133818880.

The previous prime is 1002032032319. The next prime is 1002032032367. The reversal of 1002032032320 is 232302302001.

It is a happy number.

1002032032320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 320 + 323 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002032032293 and 1002032032302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781006399 + ... + 781007681.

Almost surely, 2^{1002032032320} is an apocalyptic number.

1002032032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002032032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909421916480).

1002032032320 is an abundant number, since it is smaller than the sum of its proper divisors (2816811800640).

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

1002032032320 is a wasteful number, since it uses less digits than its factorization.

1002032032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1002032032320 its reverse (232302302001), we get a palindrome (1234334334321).

The spelling of 1002032032320 in words is "one trillion, two billion, thirty-two million, thirty-two thousand, three hundred twenty".