1002234029472 has 72 divisors (see below), whose sum is σ = 3069341726724. Its totient is φ = 308379700224.

The previous prime is 1002234029449. The next prime is 1002234029497. The reversal of 1002234029472 is 2749204322001.

It is a happy number.

1002234029472 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 340 + 294 + 7 + 2 = 666.

1002234029472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 827874335376 + 174359694096 = 909876^2 + 417564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133841613 + ... + 133849100.

Almost surely, 2^{1002234029472} is an apocalyptic number.

1002234029472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002234029472 is an abundant number, since it is smaller than the sum of its proper divisors (2067107697252).

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

1002234029472 is a wasteful number, since it uses less digits than its factorization.

1002234029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267690742 (or 267690731 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1002234029472 in words is "one trillion, two billion, two hundred thirty-four million, twenty-nine thousand, four hundred seventy-two".