10040711440 has 80 divisors (see below), whose sum is σ = 23664199680. Its totient is φ = 3961681920.

The previous prime is 10040711437. The next prime is 10040711453. The reversal of 10040711440 is 4411704001.

It is a happy number.

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

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, 1815880 + ... + 1821400.

It is an arithmetic number, because the mean of its divisors is an integer number (295802496).

Almost surely, 2^10040711440 is an apocalyptic number.

10040711440 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 10040711440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832099840).

10040711440 is an abundant number, since it is smaller than the sum of its proper divisors (13623488240).

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

10040711440 is a wasteful number, since it uses less digits than its factorization.

10040711440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 10040711440 in words is "ten billion, forty million, seven hundred eleven thousand, four hundred forty".