1004299400000 has 504 divisors, whose sum is σ = 2764049527008. Its totient is φ = 361670400000.

The previous prime is 1004299399979. The next prime is 1004299400017. The reversal of 1004299400000 is 49924001.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1453399655 + ... + 1453400345.

It is an arithmetic number, because the mean of its divisors is an integer number (5484225252).

Almost surely, 2^{1004299400000} is an apocalyptic number.

1004299400000 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 1004299400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382024763504).

1004299400000 is an abundant number, since it is smaller than the sum of its proper divisors (1759750127008).

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

1004299400000 is an frugal number, since it uses more digits than its factorization.

1004299400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1004299400000 in words is "one trillion, four billion, two hundred ninety-nine million, four hundred thousand".