10006273440 has 288 divisors, whose sum is σ = 37496571840. Its totient is φ = 2511212544.

The previous prime is 10006273399. The next prime is 10006273513. The reversal of 10006273440 is 4437260001.

10006273440 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 627 + 34 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 653391 + ... + 668529.

It is an arithmetic number, because the mean of its divisors is an integer number (130196430).

Almost surely, 2^10006273440 is an apocalyptic number.

10006273440 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 10006273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748285920).

10006273440 is an abundant number, since it is smaller than the sum of its proper divisors (27490298400).

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

10006273440 is a wasteful number, since it uses less digits than its factorization.

10006273440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10006273440 in words is "ten billion, six million, two hundred seventy-three thousand, four hundred forty".