40442256040 has 64 divisors (see below), whose sum is σ = 92477324160. Its totient is φ = 15914384640.

The previous prime is 40442255999. The next prime is 40442256079. The reversal of 40442256040 is 4065224404.

It is a happy number.

40442256040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40442255993 and 40442256011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311034 + ... + 1341526.

It is an arithmetic number, because the mean of its divisors is an integer number (1444958190).

Almost surely, 2^40442256040 is an apocalyptic number.

40442256040 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 40442256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238662080).

40442256040 is an abundant number, since it is smaller than the sum of its proper divisors (52035068120).

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

40442256040 is a wasteful number, since it uses less digits than its factorization.

40442256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31042 (or 31038 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The spelling of 40442256040 in words is "forty billion, four hundred forty-two million, two hundred fifty-six thousand, forty".