1004299591680 has 672 divisors, whose sum is σ = 4340518835328. Its totient is φ = 208679731200.

The previous prime is 1004299591657. The next prime is 1004299591721. The reversal of 1004299591680 is 861959924001.

1004299591680 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 9 + 9 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1004299591680² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 28367590 + ... + 28402970.

Almost surely, 2^{1004299591680} is an apocalyptic number.

1004299591680 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 1004299591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170259417664).

1004299591680 is an abundant number, since it is smaller than the sum of its proper divisors (3336219243648).

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

1004299591680 is a wasteful number, since it uses less digits than its factorization.

1004299591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35436 (or 35409 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1004299591680 in words is "one trillion, four billion, two hundred ninety-nine million, five hundred ninety-one thousand, six hundred eighty".