1028976812040 has 128 divisors (see below), whose sum is σ = 3117134482560. Its totient is φ = 271711248384.

The previous prime is 1028976812027. The next prime is 1028976812063. The reversal of 1028976812040 is 402186798201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31788504 + ... + 31820856.

It is an arithmetic number, because the mean of its divisors is an integer number (24352613145).

Almost surely, 2^{1028976812040} is an apocalyptic number.

1028976812040 is a gapful number since it is divisible by the number (10) 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 1028976812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558567241280).

1028976812040 is an abundant number, since it is smaller than the sum of its proper divisors (2088157670520).

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

1028976812040 is a wasteful number, since it uses less digits than its factorization.

1028976812040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34951 (or 34947 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1028976812040 in words is "one trillion, twenty-eight billion, nine hundred seventy-six million, eight hundred twelve thousand, forty".