40226269440 has 288 divisors, whose sum is σ = 149238948096. Its totient is φ = 9043476480.

The previous prime is 40226269403. The next prime is 40226269441. The reversal of 40226269440 is 4496262204.

It is not an unprimeable number, because it can be changed into a prime (40226269441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627414 + ... + 1651946.

It is an arithmetic number, because the mean of its divisors is an integer number (518190792).

Almost surely, 2^40226269440 is an apocalyptic number.

40226269440 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 40226269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74619474048).

40226269440 is an abundant number, since it is smaller than the sum of its proper divisors (109012678656).

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

40226269440 is a wasteful number, since it uses less digits than its factorization.

40226269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24625 (or 24611 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 40226269440 in words is "forty billion, two hundred twenty-six million, two hundred sixty-nine thousand, four hundred forty".