1024961636160 has 1568 divisors, whose sum is σ = 4671938506752. Its totient is φ = 207869276160.

The previous prime is 1024961636159. The next prime is 1024961636161. The reversal of 1024961636160 is 616361694201.

1024961636160 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 9 + 6 + 1 + 636 + 1 + 6 + 0 = 666.

1024961636160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1024961636159) and next prime (1024961636161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024961636161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 772389417 + ... + 772390743.

Almost surely, 2^{1024961636160} is an apocalyptic number.

1024961636160 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 1024961636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335969253376).

1024961636160 is an abundant number, since it is smaller than the sum of its proper divisors (3646976870592).

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

1024961636160 is a wasteful number, since it uses less digits than its factorization.

1024961636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1024961636160 in words is "one trillion, twenty-four billion, nine hundred sixty-one million, six hundred thirty-six thousand, one hundred sixty".