10029886319040 has 224 divisors, whose sum is σ = 36398970209280. Its totient is φ = 2292242374656.

The previous prime is 10029886319017. The next prime is 10029886319053. The reversal of 10029886319040 is 4091368892001.

10029886319040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52852164 + ... + 53041596.

It is an arithmetic number, because the mean of its divisors is an integer number (162495402720).

Almost surely, 2^{10029886319040} is an apocalyptic number.

10029886319040 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 10029886319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199485104640).

10029886319040 is an abundant number, since it is smaller than the sum of its proper divisors (26369083890240).

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

10029886319040 is a wasteful number, since it uses less digits than its factorization.

10029886319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197339 (or 197329 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 10029886319040 in words is "ten trillion, twenty-nine billion, eight hundred eighty-six million, three hundred nineteen thousand, forty".