10029694444 has 192 divisors, whose sum is σ = 23162388480. Its totient is φ = 3688312320.

The previous prime is 10029694429. The next prime is 10029694447. The reversal of 10029694444 is 44449692001.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 10029694444.

It is not an unprimeable number, because it can be changed into a prime (10029694447) 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, 78973909 + ... + 78974035.

It is an arithmetic number, because the mean of its divisors is an integer number (120637440).

Almost surely, 2^10029694444 is an apocalyptic number.

10029694444 is a gapful number since it is divisible by the number (14) 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 10029694444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581194240).

10029694444 is an abundant number, since it is smaller than the sum of its proper divisors (13132694036).

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

10029694444 is a wasteful number, since it uses less digits than its factorization.

10029694444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 10029694444 in words is "ten billion, twenty-nine million, six hundred ninety-four thousand, four hundred forty-four".