40142430720 has 1080 divisors, whose sum is σ = 171623967372. Its totient is φ = 8639447040.

The previous prime is 40142430707. The next prime is 40142430733. The reversal of 40142430720 is 2703424104.

It is an interprime number because it is at equal distance from previous prime (40142430707) and next prime (40142430733).

It can be written as a sum of positive squares in 2 ways, for example, as 39165993216 + 976437504 = 197904^2 + 31248^2 .

It is a super-2 number, since 2×40142430720² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1084930542 + ... + 1084930578.

Almost surely, 2^40142430720 is an apocalyptic number.

40142430720 is a gapful number since it is divisible by the number (40) 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 40142430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85811983686).

40142430720 is an abundant number, since it is smaller than the sum of its proper divisors (131481536652).

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

40142430720 is a wasteful number, since it uses less digits than its factorization.

40142430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 40142430720 its reverse (2703424104), we get a palindrome (42845854824).

The spelling of 40142430720 in words is "forty billion, one hundred forty-two million, four hundred thirty thousand, seven hundred twenty".