40330042210404 has 240 divisors, whose sum is σ = 106766025894528. Its totient is φ = 13273919027712.

The previous prime is 40330042210379. The next prime is 40330042210429. The reversal of 40330042210404 is 40401224003304.

It is a happy number.

40330042210404 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 0 + 0 + 42 + 210 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (40330042210379) and next prime (40330042210429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25253626134 + ... + 25253627730.

Almost surely, 2^{40330042210404} 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 40330042210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53383012947264).

40330042210404 is an abundant number, since it is smaller than the sum of its proper divisors (66435983684124).

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

40330042210404 is a wasteful number, since it uses less digits than its factorization.

40330042210404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40330042210404 its reverse (40401224003304), we get a palindrome (80731266213708).

The spelling of 40330042210404 in words is "forty trillion, three hundred thirty billion, forty-two million, two hundred ten thousand, four hundred four".