1000999126400 has 1152 divisors, whose sum is σ = 3252901176000. Its totient is φ = 302380646400.

The previous prime is 1000999126397. The next prime is 1000999126409. The reversal of 1000999126400 is 46219990001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000999126409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13712316764 + ... + 13712316836.

Almost surely, 2^{1000999126400} is an apocalyptic number.

1000999126400 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 1000999126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626450588000).

1000999126400 is an abundant number, since it is smaller than the sum of its proper divisors (2251902049600).

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

1000999126400 is an equidigital number, since it uses as much as digits as its factorization.

1000999126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 1000999126400 in words is "one trillion, nine hundred ninety-nine million, one hundred twenty-six thousand, four hundred".