1234091447400 has 768 divisors, whose sum is σ = 4551728670720. Its totient is φ = 270766080000.

The previous prime is 1234091447279. The next prime is 1234091447419. The reversal of 1234091447400 is 47441904321.

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 191 ways as a sum of consecutive naturals, for example, 5120711280 + ... + 5120711520.

It is an arithmetic number, because the mean of its divisors is an integer number (5926730040).

Almost surely, 2^{1234091447400} is an apocalyptic number.

1234091447400 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 1234091447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275864335360).

1234091447400 is an abundant number, since it is smaller than the sum of its proper divisors (3317637223320).

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

1234091447400 is a wasteful number, since it uses less digits than its factorization.

1234091447400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1234091447400 in words is "one trillion, two hundred thirty-four billion, ninety-one million, four hundred forty-seven thousand, four hundred".