40322014434 has 256 divisors, whose sum is σ = 108960768000. Its totient is φ = 10917504000.

The previous prime is 40322014387. The next prime is 40322014459. The reversal of 40322014434 is 43441022304.

It is a happy number.

40322014434 is a `hidden beast` number, since 4 + 0 + 3 + 220 + 1 + 4 + 434 = 666.

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 = 40322014398 and 40322014407.

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, 17911809 + ... + 17914059.

It is an arithmetic number, because the mean of its divisors is an integer number (425628000).

Almost surely, 2^40322014434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40322014434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54480384000).

40322014434 is an abundant number, since it is smaller than the sum of its proper divisors (68638753566).

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

40322014434 is a wasteful number, since it uses less digits than its factorization.

40322014434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2384 counting only the distinct ones).

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

Adding to 40322014434 its reverse (43441022304), we get a palindrome (83763036738).

The spelling of 40322014434 in words is "forty billion, three hundred twenty-two million, fourteen thousand, four hundred thirty-four".