1032400100976 has 80 divisors (see below), whose sum is σ = 2784093520896. Its totient is φ = 329040709888.

The previous prime is 1032400100971. The next prime is 1032400101071. The reversal of 1032400100976 is 6790010042301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032400100971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623606 + ... + 2991338.

Almost surely, 2^{1032400100976} is an apocalyptic number.

1032400100976 is a gapful number since it is divisible by the number (16) 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 1032400100976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392046760448).

1032400100976 is an abundant number, since it is smaller than the sum of its proper divisors (1751693419920).

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

1032400100976 is a wasteful number, since it uses less digits than its factorization.

1032400100976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370310 (or 370304 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 1032400100976 in words is "one trillion, thirty-two billion, four hundred million, one hundred thousand, nine hundred seventy-six".