1024130867760 has 2240 divisors, whose sum is σ = 4898512475136. Its totient is φ = 192148070400.

The previous prime is 1024130867741. The next prime is 1024130867779. The reversal of 1024130867760 is 677680314201.

1024130867760 is a `hidden beast` number, since 102 + 413 + 0 + 8 + 6 + 77 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1024130867741) and next prime (1024130867779).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3094050795 + ... + 3094051125.

Almost surely, 2^{1024130867760} is an apocalyptic number.

1024130867760 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 1024130867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449256237568).

1024130867760 is an abundant number, since it is smaller than the sum of its proper divisors (3874381607376).

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

1024130867760 is a wasteful number, since it uses less digits than its factorization.

1024130867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1024130867760 in words is "one trillion, twenty-four billion, one hundred thirty million, eight hundred sixty-seven thousand, seven hundred sixty".