1032435408160 has 192 divisors, whose sum is σ = 2707404515424. Its totient is φ = 369576345600.

The previous prime is 1032435408061. The next prime is 1032435408259. The reversal of 1032435408160 is 618045342301.

It is an interprime number because it is at equal distance from previous prime (1032435408061) and next prime (1032435408259).

It can be written as a sum of positive squares in 16 ways, for example, as 3046598416 + 1029388809744 = 55196^2 + 1014588^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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 31 ways as a sum of consecutive naturals, for example, 21601890 + ... + 21649630.

Almost surely, 2^{1032435408160} is an apocalyptic number.

1032435408160 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 1032435408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353702257712).

1032435408160 is an abundant number, since it is smaller than the sum of its proper divisors (1674969107264).

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

1032435408160 is a wasteful number, since it uses less digits than its factorization.

1032435408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48087 (or 48079 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1032435408160 in words is "one trillion, thirty-two billion, four hundred thirty-five million, four hundred eight thousand, one hundred sixty".