40403111200 has 144 divisors (see below), whose sum is σ = 104900239080. Its totient is φ = 15142993920.

The previous prime is 40403111179. The next prime is 40403111201. The reversal of 40403111200 is 211130404.

It can be written as a sum of positive squares in 12 ways, for example, as 3460733584 + 36942377616 = 58828^2 + 192204^2 .

It is a super-2 number, since 2×40403111200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40403111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107914 + ... + 3120886.

Almost surely, 2^40403111200 is an apocalyptic number.

40403111200 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 40403111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52450119540).

40403111200 is an abundant number, since it is smaller than the sum of its proper divisors (64497127880).

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

40403111200 is a wasteful number, since it uses less digits than its factorization.

40403111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13239 (or 13226 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40403111200 its reverse (211130404), we get a palindrome (40614241604).

The spelling of 40403111200 in words is "forty billion, four hundred three million, one hundred eleven thousand, two hundred".