40322330334 has 256 divisors, whose sum is σ = 108190494720. Its totient is φ = 10969344000.

The previous prime is 40322330327. The next prime is 40322330341. The reversal of 40322330334 is 43303322304.

40322330334 is a `hidden beast` number, since 4 + 0 + 322 + 3 + 3 + 0 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (40322330327) and next prime (40322330341).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40322330298 and 40322330307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87466864 + ... + 87467324.

It is an arithmetic number, because the mean of its divisors is an integer number (422619120).

Almost surely, 2^40322330334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40322330334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095247360).

40322330334 is an abundant number, since it is smaller than the sum of its proper divisors (67868164386).

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

40322330334 is a wasteful number, since it uses less digits than its factorization.

40322330334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 40322330334 its reverse (43303322304), we get a palindrome (83625652638).

The spelling of 40322330334 in words is "forty billion, three hundred twenty-two million, three hundred thirty thousand, three hundred thirty-four".