40188634434 has 128 divisors (see below), whose sum is σ = 101556940800. Its totient is φ = 11678230080.

The previous prime is 40188634429. The next prime is 40188634487. The reversal of 40188634434 is 43443688104.

40188634434 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 8 + 634 + 4 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40188634434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4410327 + ... + 4419429.

It is an arithmetic number, because the mean of its divisors is an integer number (793413600).

Almost surely, 2^40188634434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40188634434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778470400).

40188634434 is an abundant number, since it is smaller than the sum of its proper divisors (61368306366).

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

40188634434 is a wasteful number, since it uses less digits than its factorization.

40188634434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 40188634434 in words is "forty billion, one hundred eighty-eight million, six hundred thirty-four thousand, four hundred thirty-four".