10040850144 has 288 divisors, whose sum is σ = 31783752000. Its totient is φ = 2987089920.

The previous prime is 10040850139. The next prime is 10040850163. The reversal of 10040850144 is 44105804001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10040850144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22871877 + ... + 22872315.

It is an arithmetic number, because the mean of its divisors is an integer number (110360250).

Almost surely, 2^10040850144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040850144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891876000).

10040850144 is an abundant number, since it is smaller than the sum of its proper divisors (21742901856).

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

10040850144 is a wasteful number, since it uses less digits than its factorization.

10040850144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10040850144 in words is "ten billion, forty million, eight hundred fifty thousand, one hundred forty-four".