1034990820864 has 1920 divisors, whose sum is σ = 4331764749312. Its totient is φ = 228898897920.

The previous prime is 1034990820833. The next prime is 1034990820961. The reversal of 1034990820864 is 4680280994301.

1034990820864 is a `hidden beast` number, since 1 + 0 + 349 + 90 + 8 + 208 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1034990820864.

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 5253760414 + ... + 5253760610.

Almost surely, 2^{1034990820864} is an apocalyptic number.

1034990820864 is a gapful number since it is divisible by the number (14) 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 1034990820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165882374656).

1034990820864 is an abundant number, since it is smaller than the sum of its proper divisors (3296773928448).

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

1034990820864 is a wasteful number, since it uses less digits than its factorization.

1034990820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1034990820864 in words is "one trillion, thirty-four billion, nine hundred ninety million, eight hundred twenty thousand, eight hundred sixty-four".