40412880 has 180 divisors, whose sum is σ = 142889292. Its totient is φ = 10229760.

The previous prime is 40412851. The next prime is 40412887. The reversal of 40412880 is 8821404.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 39992976 = 648^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40412887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 985660 + ... + 985700.

Almost surely, 2^40412880 is an apocalyptic number.

40412880 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 40412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71444646).

40412880 is an abundant number, since it is smaller than the sum of its proper divisors (102476412).

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

40412880 is a wasteful number, since it uses less digits than its factorization.

40412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40412880 is about 6357.1125520947. The cubic root of 40412880 is about 343.1678552383.

The spelling of 40412880 in words is "forty million, four hundred twelve thousand, eight hundred eighty".