10050109440 has 512 divisors, whose sum is σ = 38654115840. Its totient is φ = 2179989504.

The previous prime is 10050109429. The next prime is 10050109457. The reversal of 10050109440 is 4490105001.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×10050109440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10050109440.

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, 79134657 + ... + 79134783.

It is an arithmetic number, because the mean of its divisors is an integer number (75496320).

Almost surely, 2^10050109440 is an apocalyptic number.

10050109440 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 10050109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327057920).

10050109440 is an abundant number, since it is smaller than the sum of its proper divisors (28604006400).

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

10050109440 is an equidigital number, since it uses as much as digits as its factorization.

10050109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10050109440 in words is "ten billion, fifty million, one hundred nine thousand, four hundred forty".