40142234300 has 144 divisors (see below), whose sum is σ = 105996840768. Its totient is φ = 12881203200.

The previous prime is 40142234281. The next prime is 40142234323. The reversal of 40142234300 is 343224104.

40142234300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40142234300² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2144582 + ... + 2163218.

It is an arithmetic number, because the mean of its divisors is an integer number (736089172).

Almost surely, 2^40142234300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52998420384).

40142234300 is an abundant number, since it is smaller than the sum of its proper divisors (65854606468).

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

40142234300 is a wasteful number, since it uses less digits than its factorization.

40142234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18856 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40142234300 its reverse (343224104), we get a palindrome (40485458404).

The spelling of 40142234300 in words is "forty billion, one hundred forty-two million, two hundred thirty-four thousand, three hundred".