1076038460829 has 32 divisors (see below), whose sum is σ = 1605629491200. Its totient is φ = 712199459520.

The previous prime is 1076038460753. The next prime is 1076038460851. The reversal of 1076038460829 is 9280648306701.

1076038460829 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 0 + 3 + 8 + 4 + 608 + 29 = 666.

It is not a de Polignac number, because 1076038460829 - 2¹² = 1076038456733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076038460129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2419947 + ... + 2829879.

It is an arithmetic number, because the mean of its divisors is an integer number (50175921600).

Almost surely, 2^{1076038460829} is an apocalyptic number.

It is an amenable number.

1076038460829 is a deficient number, since it is larger than the sum of its proper divisors (529591030371).

1076038460829 is a wasteful number, since it uses less digits than its factorization.

1076038460829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410642 (or 410636 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1076038460829 in words is "one trillion, seventy-six billion, thirty-eight million, four hundred sixty thousand, eight hundred twenty-nine".