40342434132 has 288 divisors, whose sum is σ = 128859171840. Its totient is φ = 9537315840.

The previous prime is 40342434113. The next prime is 40342434163. The reversal of 40342434132 is 23143424304.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40342434132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11397619 + ... + 11401157.

It is an arithmetic number, because the mean of its divisors is an integer number (447427680).

Almost surely, 2^40342434132 is an apocalyptic number.

40342434132 is a gapful number since it is divisible by the number (42) 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 40342434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64429585920).

40342434132 is an abundant number, since it is smaller than the sum of its proper divisors (88516737708).

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

40342434132 is a wasteful number, since it uses less digits than its factorization.

40342434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 40342434132 its reverse (23143424304), we get a palindrome (63485858436).

It can be divided in two parts, 40342 and 434132, that added together give a palindrome (474474).

The spelling of 40342434132 in words is "forty billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred thirty-two".