40221145344 has 72 divisors (see below), whose sum is σ = 107645297760. Its totient is φ = 13332103168.

The previous prime is 40221145243. The next prime is 40221145361. The reversal of 40221145344 is 44354112204.

40221145344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8817 + ... + 283760.

It is an arithmetic number, because the mean of its divisors is an integer number (1495073580).

Almost surely, 2^40221145344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53822648880).

40221145344 is an abundant number, since it is smaller than the sum of its proper divisors (67424152416).

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

40221145344 is a wasteful number, since it uses less digits than its factorization.

40221145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292775 (or 292761 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 40221145344 its reverse (44354112204), we get a palindrome (84575257548).

The spelling of 40221145344 in words is "forty billion, two hundred twenty-one million, one hundred forty-five thousand, three hundred forty-four".