1032141496320 has 1344 divisors, whose sum is σ = 4129270928640. Its totient is φ = 236165529600.

The previous prime is 1032141496303. The next prime is 1032141496357. The reversal of 1032141496320 is 236941412301.

1032141496320 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 4 + 14 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7878942655 + ... + 7878942785.

Almost surely, 2^{1032141496320} is an apocalyptic number.

1032141496320 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 1032141496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064635464320).

1032141496320 is an abundant number, since it is smaller than the sum of its proper divisors (3097129432320).

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

1032141496320 is a wasteful number, since it uses less digits than its factorization.

1032141496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1032141496320 in words is "one trillion, thirty-two billion, one hundred forty-one million, four hundred ninety-six thousand, three hundred twenty".