10094783293440 has 768 divisors, whose sum is σ = 36694701388800. Its totient is φ = 2664692121600.

The previous prime is 10094783293393. The next prime is 10094783293447. The reversal of 10094783293440 is 4439238749001.

10094783293440 is a `hidden beast` number, since 10 + 0 + 9 + 4 + 78 + 32 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10094783293447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261880649 + ... + 2261885111.

It is an arithmetic number, because the mean of its divisors is an integer number (47779559100).

Almost surely, 2^{10094783293440} is an apocalyptic number.

10094783293440 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 10094783293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347350694400).

10094783293440 is an abundant number, since it is smaller than the sum of its proper divisors (26599918095360).

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

10094783293440 is an frugal number, since it uses more digits than its factorization.

10094783293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10094783293440 in words is "ten trillion, ninety-four billion, seven hundred eighty-three million, two hundred ninety-three thousand, four hundred forty".