1032000400000 has 192 divisors, whose sum is σ = 2572976568960. Its totient is φ = 412283520000.

The previous prime is 1032000399979. The next prime is 1032000400069. The reversal of 1032000400000 is 40002301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1032000400000.

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, 578799109 + ... + 578800891.

It is an arithmetic number, because the mean of its divisors is an integer number (13400919630).

Almost surely, 2^{1032000400000} is an apocalyptic number.

1032000400000 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 1032000400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286488284480).

1032000400000 is an abundant number, since it is smaller than the sum of its proper divisors (1540976168960).

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

1032000400000 is an frugal number, since it uses more digits than its factorization.

1032000400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1032000400000 its reverse (40002301), we get a palindrome (1032040402301).

The spelling of 1032000400000 in words is "one trillion, thirty-two billion, four hundred thousand".