40005737360 has 80 divisors (see below), whose sum is σ = 94605990960. Its totient is φ = 15728670720.

The previous prime is 40005737353. The next prime is 40005737371. The reversal of 40005737360 is 6373750004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29841871504 + 10163865856 = 172748^2 + 100816^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40005737360.

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, 11070914 + ... + 11074526.

It is an arithmetic number, because the mean of its divisors is an integer number (1182574887).

Almost surely, 2^40005737360 is an apocalyptic number.

40005737360 is a gapful number since it is divisible by the number (40) 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 40005737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302995480).

40005737360 is an abundant number, since it is smaller than the sum of its proper divisors (54600253600).

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

40005737360 is a wasteful number, since it uses less digits than its factorization.

40005737360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The spelling of 40005737360 in words is "forty billion, five million, seven hundred thirty-seven thousand, three hundred sixty".