1024267948272 has 50 divisors (see below), whose sum is σ = 2964528610208. Its totient is φ = 341422648992.

The previous prime is 1024267948261. The next prime is 1024267948303. The reversal of 1024267948272 is 2728497624201.

1024267948272 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 26 + 79 + 482 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 395163808 + ... + 395166399.

Almost surely, 2^{1024267948272} is an apocalyptic number.

1024267948272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024267948272 is an abundant number, since it is smaller than the sum of its proper divisors (1940260661936).

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

1024267948272 is an equidigital number, since it uses as much as digits as its factorization.

1024267948272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790330227 (or 790330212 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1024267948272 in words is "one trillion, twenty-four billion, two hundred sixty-seven million, nine hundred forty-eight thousand, two hundred seventy-two".