1024861934772 has 384 divisors, whose sum is σ = 2998228746240. Its totient is φ = 300609792000.

The previous prime is 1024861934743. The next prime is 1024861934773. The reversal of 1024861934772 is 2774391684201.

1024861934772 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 86 + 1 + 93 + 477 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024861934773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 939377947 + ... + 939379037.

It is an arithmetic number, because the mean of its divisors is an integer number (7807887360).

Almost surely, 2^{1024861934772} is an apocalyptic number.

1024861934772 is a gapful number since it is divisible by the number (12) 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 1024861934772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499114373120).

1024861934772 is an abundant number, since it is smaller than the sum of its proper divisors (1973366811468).

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

1024861934772 is a wasteful number, since it uses less digits than its factorization.

1024861934772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1024861934772 in words is "one trillion, twenty-four billion, eight hundred sixty-one million, nine hundred thirty-four thousand, seven hundred seventy-two".