40111643200 has 84 divisors (see below), whose sum is σ = 98895628980. Its totient is φ = 16012810240.

The previous prime is 40111643179. The next prime is 40111643213. The reversal of 40111643200 is 234611104.

It can be written as a sum of positive squares in 6 ways, for example, as 1419179584 + 38692463616 = 37672^2 + 196704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789774 + ... + 839026.

Almost surely, 2^40111643200 is an apocalyptic number.

40111643200 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 40111643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447814490).

40111643200 is an abundant number, since it is smaller than the sum of its proper divisors (58783985780).

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

40111643200 is a wasteful number, since it uses less digits than its factorization.

40111643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49784 (or 49769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 40111643200 in words is "forty billion, one hundred eleven million, six hundred forty-three thousand, two hundred".