40021343120 has 320 divisors, whose sum is σ = 110992896000. Its totient is φ = 13262745600.

The previous prime is 40021343113. The next prime is 40021343149. The reversal of 40021343120 is 2134312004.

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 = 40021343092 and 40021343101.

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 63 ways as a sum of consecutive naturals, for example, 54155711 + ... + 54156449.

It is an arithmetic number, because the mean of its divisors is an integer number (346852800).

Almost surely, 2^40021343120 is an apocalyptic number.

40021343120 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 40021343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448000).

40021343120 is an abundant number, since it is smaller than the sum of its proper divisors (70971552880).

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

40021343120 is a wasteful number, since it uses less digits than its factorization.

40021343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

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

Adding to 40021343120 its reverse (2134312004), we get a palindrome (42155655124).

The spelling of 40021343120 in words is "forty billion, twenty-one million, three hundred forty-three thousand, one hundred twenty".