40023114320 has 160 divisors (see below), whose sum is σ = 110437931520. Its totient is φ = 13203578880.

The previous prime is 40023114283. The next prime is 40023114337. The reversal of 40023114320 is 2341132004.

It is a super-3 number, since 3×40023114320³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40023114292 and 40023114301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664141 + ... + 1688019.

It is an arithmetic number, because the mean of its divisors is an integer number (690237072).

Almost surely, 2^40023114320 is an apocalyptic number.

40023114320 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 40023114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55218965760).

40023114320 is an abundant number, since it is smaller than the sum of its proper divisors (70414817200).

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

40023114320 is a wasteful number, since it uses less digits than its factorization.

40023114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24013 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40023114320 its reverse (2341132004), we get a palindrome (42364246324).

The spelling of 40023114320 in words is "forty billion, twenty-three million, one hundred fourteen thousand, three hundred twenty".