40300416 has 240 divisors, whose sum is σ = 135515160. Its totient is φ = 11860992.

The previous prime is 40300411. The next prime is 40300451. The reversal of 40300416 is 61400304.

40300416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40300411) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 1752181 + ... + 1752203.

Almost surely, 2^40300416 is an apocalyptic number.

40300416 is a gapful number since it is divisible by the number (46) 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 40300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757580).

40300416 is an abundant number, since it is smaller than the sum of its proper divisors (95214744).

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

40300416 is a wasteful number, since it uses less digits than its factorization.

40300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40300416 is about 6348.2608642053. The cubic root of 40300416 is about 342.8492283887.

The spelling of 40300416 in words is "forty million, three hundred thousand, four hundred sixteen".