40402132200 has 288 divisors, whose sum is σ = 137237700600. Its totient is φ = 10651392000.

The previous prime is 40402132109. The next prime is 40402132231. The reversal of 40402132200 is 223120404.

40402132200 is a `hidden beast` number, since 40 + 402 + 1 + 3 + 220 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7457704164 + 32944428036 = 86358^2 + 181506^2 .

It is a super-3 number, since 3×40402132200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87639970 + ... + 87640430.

Almost surely, 2^40402132200 is an apocalyptic number.

40402132200 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 40402132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68618850300).

40402132200 is an abundant number, since it is smaller than the sum of its proper divisors (96835568400).

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

40402132200 is a wasteful number, since it uses less digits than its factorization.

40402132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40402132200 its reverse (223120404), we get a palindrome (40625252604).

The spelling of 40402132200 in words is "forty billion, four hundred two million, one hundred thirty-two thousand, two hundred".