1032086431200 has 576 divisors, whose sum is σ = 3705580327680. Its totient is φ = 247437312000.

The previous prime is 1032086431147. The next prime is 1032086431213. The reversal of 1032086431200 is 21346802301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667344491 + ... + 1667345109.

It is an arithmetic number, because the mean of its divisors is an integer number (6433299180).

Almost surely, 2^{1032086431200} is an apocalyptic number.

1032086431200 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 1032086431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852790163840).

1032086431200 is an abundant number, since it is smaller than the sum of its proper divisors (2673493896480).

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

1032086431200 is a wasteful number, since it uses less digits than its factorization.

1032086431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1032086431200 in words is "one trillion, thirty-two billion, eighty-six million, four hundred thirty-one thousand, two hundred".