40430988 has 120 divisors (see below), whose sum is σ = 118105680. Its totient is φ = 11975040.

The previous prime is 40430963. The next prime is 40431011. The reversal of 40430988 is 88903404.

40430988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40430988³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 121983 + ... + 122313.

It is an arithmetic number, because the mean of its divisors is an integer number (984214).

Almost surely, 2^40430988 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 40430988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052840).

40430988 is an abundant number, since it is smaller than the sum of its proper divisors (77674692).

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

40430988 is a wasteful number, since it uses less digits than its factorization.

40430988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40430988 is about 6358.5366240983. The cubic root of 40430988 is about 343.2191025604.

The spelling of 40430988 in words is "forty million, four hundred thirty thousand, nine hundred eighty-eight".