1032636316140 has 432 divisors, whose sum is σ = 3705894672480. Its totient is φ = 230721454080.

The previous prime is 1032636316123. The next prime is 1032636316207. The reversal of 1032636316140 is 416136362301.

1032636316140 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 6 + 3 + 6 + 31 + 614 + 0 = 666.

It is a super-2 number, since 2×1032636316140² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032636316095 and 1032636316104.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 257320774 + ... + 257324786.

It is an arithmetic number, because the mean of its divisors is an integer number (8578459890).

Almost surely, 2^{1032636316140} is an apocalyptic number.

1032636316140 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 1032636316140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852947336240).

1032636316140 is an abundant number, since it is smaller than the sum of its proper divisors (2673258356340).

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

1032636316140 is a wasteful number, since it uses less digits than its factorization.

1032636316140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1032636316140 in words is "one trillion, thirty-two billion, six hundred thirty-six million, three hundred sixteen thousand, one hundred forty".