1032187361280 has 192 divisors, whose sum is σ = 3445769134080. Its totient is φ = 263282393088.

The previous prime is 1032187361273. The next prime is 1032187361297. The reversal of 1032187361280 is 821637812301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23872 + ... + 1436991.

It is an arithmetic number, because the mean of its divisors is an integer number (17946714240).

Almost surely, 2^{1032187361280} is an apocalyptic number.

1032187361280 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 1032187361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722884567040).

1032187361280 is an abundant number, since it is smaller than the sum of its proper divisors (2413581772800).

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

1032187361280 is a wasteful number, since it uses less digits than its factorization.

1032187361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460916 (or 1460896 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1032187361280 in words is "one trillion, thirty-two billion, one hundred eighty-seven million, three hundred sixty-one thousand, two hundred eighty".