40604820390 has 144 divisors (see below), whose sum is σ = 112025300400. Its totient is φ = 10175974272.

The previous prime is 40604820383. The next prime is 40604820397. The reversal of 40604820390 is 9302840604.

It is a happy number.

40604820390 is a `hidden beast` number, since 40 + 604 + 8 + 2 + 0 + 3 + 9 + 0 = 666.

40604820390 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 (40604820383) and next prime (40604820397).

It is a super-3 number, since 3×40604820390³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40604820397) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33038296 + ... + 33039524.

It is an arithmetic number, because the mean of its divisors is an integer number (777953475).

Almost surely, 2^40604820390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40604820390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56012650200).

40604820390 is an abundant number, since it is smaller than the sum of its proper divisors (71420480010).

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

40604820390 is a wasteful number, since it uses less digits than its factorization.

40604820390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40604820390 in words is "forty billion, six hundred four million, eight hundred twenty thousand, three hundred ninety".