40988100 has 72 divisors (see below), whose sum is σ = 119242368. Its totient is φ = 10870400.

The previous prime is 40988083. The next prime is 40988117. The reversal of 40988100 is 188904.

It is a happy number.

40988100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40988083) and next prime (40988117).

It is a super-2 number, since 2×40988100² = 3360048683220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94885 + ... + 95315.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^40988100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621184).

40988100 is an abundant number, since it is smaller than the sum of its proper divisors (78254268).

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

40988100 is a wasteful number, since it uses less digits than its factorization.

40988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 40988100 is about 6402.1949361137. The cubic root of 40988100 is about 344.7883600092.

The spelling of 40988100 in words is "forty million, nine hundred eighty-eight thousand, one hundred".