40394090880 has 640 divisors, whose sum is σ = 169505028000. Its totient is φ = 9037578240.

The previous prime is 40394090873. The next prime is 40394090887. The reversal of 40394090880 is 8809049304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40394090873) and next prime (40394090887).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40394090887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7410396 + ... + 7415844.

Almost surely, 2^40394090880 is an apocalyptic number.

40394090880 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 40394090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84752514000).

40394090880 is an abundant number, since it is smaller than the sum of its proper divisors (129110937120).

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

40394090880 is a wasteful number, since it uses less digits than its factorization.

40394090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40394090880 in words is "forty billion, three hundred ninety-four million, ninety thousand, eight hundred eighty".