40188119148100 has 243 divisors, whose sum is σ = 111520630205271. Its totient is φ = 12524645548800.

The previous prime is 40188119148061. The next prime is 40188119148101. The reversal of 40188119148100 is 184191188104.

It is a happy number.

The square root of 40188119148100 is 6339410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8287040353284 + 31901078794816 = 2878722^2 + 5648104^2 .

It is a super-2 number, since 2×40188119148100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40188119148101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 4881341584 + ... + 4881349816.

Almost surely, 2^{40188119148100} is an apocalyptic number.

40188119148100 is the 6339410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40188119148100

40188119148100 is an abundant number, since it is smaller than the sum of its proper divisors (71332511057171).

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

40188119148100 is an equidigital number, since it uses as much as digits as its factorization.

40188119148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16516 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 46.

The spelling of 40188119148100 in words is "forty trillion, one hundred eighty-eight billion, one hundred nineteen million, one hundred forty-eight thousand, one hundred".