10093789440 has 864 divisors, whose sum is σ = 43620595200. Its totient is φ = 2102132736.

The previous prime is 10093789373. The next prime is 10093789469. The reversal of 10093789440 is 4498739001.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50722461 + ... + 50722659.

It is an arithmetic number, because the mean of its divisors is an integer number (50486800).

Almost surely, 2^10093789440 is an apocalyptic number.

10093789440 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 10093789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21810297600).

10093789440 is an abundant number, since it is smaller than the sum of its proper divisors (33526805760).

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

10093789440 is a wasteful number, since it uses less digits than its factorization.

10093789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10093789440 in words is "ten billion, ninety-three million, seven hundred eighty-nine thousand, four hundred forty".