10144794000 has 640 divisors, whose sum is σ = 38373543936. Its totient is φ = 2280960000.

The previous prime is 10144793921. The next prime is 10144794017. The reversal of 10144794000 is 49744101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62237919 + ... + 62238081.

Almost surely, 2^10144794000 is an apocalyptic number.

10144794000 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 10144794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186771968).

10144794000 is an abundant number, since it is smaller than the sum of its proper divisors (28228749936).

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

10144794000 is a wasteful number, since it uses less digits than its factorization.

10144794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10144794000 in words is "ten billion, one hundred forty-four million, seven hundred ninety-four thousand".