1032163727040 has 336 divisors, whose sum is σ = 3585103441920. Its totient is φ = 272551495680.

The previous prime is 1032163727033. The next prime is 1032163727047. The reversal of 1032163727040 is 407273612301.

1032163727040 is a `hidden beast` number, since 1 + 0 + 3 + 216 + 372 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1032163727033) and next prime (1032163727047).

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 = 1032163726986 and 1032163727004.

It is not an unprimeable number, because it can be changed into a prime (1032163727047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130336201 + ... + 130344119.

It is an arithmetic number, because the mean of its divisors is an integer number (10669950720).

Almost surely, 2^{1032163727040} is an apocalyptic number.

1032163727040 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 1032163727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792551720960).

1032163727040 is an abundant number, since it is smaller than the sum of its proper divisors (2552939714880).

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

1032163727040 is a wasteful number, since it uses less digits than its factorization.

1032163727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1032163727040 in words is "one trillion, thirty-two billion, one hundred sixty-three million, seven hundred twenty-seven thousand, forty".