40120142304 has 144 divisors (see below), whose sum is σ = 115884787536. Its totient is φ = 12144506880.

The previous prime is 40120142281. The next prime is 40120142329. The reversal of 40120142304 is 40324102104.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20129532 + ... + 20131524.

It is an arithmetic number, because the mean of its divisors is an integer number (804755469).

Almost surely, 2^40120142304 is an apocalyptic number.

40120142304 is a gapful number since it is divisible by the number (44) 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 40120142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57942393768).

40120142304 is an abundant number, since it is smaller than the sum of its proper divisors (75764645232).

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

40120142304 is a wasteful number, since it uses less digits than its factorization.

40120142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40120142304 its reverse (40324102104), we get a palindrome (80444244408).

The spelling of 40120142304 in words is "forty billion, one hundred twenty million, one hundred forty-two thousand, three hundred four".