10005544240 has 80 divisors (see below), whose sum is σ = 23844331008. Its totient is φ = 3902807808.

The previous prime is 10005544223. The next prime is 10005544253. The reversal of 10005544240 is 4244550001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10005544240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059379 + ... + 1068781.

Almost surely, 2^10005544240 is an apocalyptic number.

10005544240 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 10005544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922165504).

10005544240 is an abundant number, since it is smaller than the sum of its proper divisors (13838786768).

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

10005544240 is a wasteful number, since it uses less digits than its factorization.

10005544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9746 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 10005544240 in words is "ten billion, five million, five hundred forty-four thousand, two hundred forty".