1072033264004 has 12 divisors (see below), whose sum is σ = 1940749874700. Its totient is φ = 517533299808.

The previous prime is 1072033263991. The next prime is 1072033264007. The reversal of 1072033264004 is 4004623302701.

It can be written as a sum of positive squares in 2 ways, for example, as 817161760900 + 254871503104 = 903970^2 + 504848^2 .

It is a super-2 number, since 2×1072033264004² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072033264007) 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 3 ways as a sum of consecutive naturals, for example, 4620832919 + ... + 4620833150.

It is an arithmetic number, because the mean of its divisors is an integer number (161729156225).

Almost surely, 2^{1072033264004} is an apocalyptic number.

It is an amenable number.

1072033264004 is a deficient number, since it is larger than the sum of its proper divisors (868716610696).

1072033264004 is a wasteful number, since it uses less digits than its factorization.

1072033264004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241666102 (or 9241666100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 1072033264004 its reverse (4004623302701), we get a palindrome (5076656566705).

The spelling of 1072033264004 in words is "one trillion, seventy-two billion, thirty-three million, two hundred sixty-four thousand, four".