40420000000 has 288 divisors, whose sum is σ = 105393480192. Its totient is φ = 15456000000.

The previous prime is 40419999989. The next prime is 40420000001. The reversal of 40420000000 is 2404.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40420000001) by changing a digit.

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, 859999977 + ... + 860000023.

It is an arithmetic number, because the mean of its divisors is an integer number (365949584).

Almost surely, 2^40420000000 is an apocalyptic number.

40420000000 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 40420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52696740096).

40420000000 is an abundant number, since it is smaller than the sum of its proper divisors (64973480192).

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

40420000000 is an frugal number, since it uses more digits than its factorization.

40420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 40420000000 its reverse (2404), we get a palindrome (40420002404).

The spelling of 40420000000 in words is "forty billion, four hundred twenty million", and thus it is an aban number.