40441022160 has 640 divisors, whose sum is σ = 161557659648. Its totient is φ = 8125440000.

The previous prime is 40441022119. The next prime is 40441022177. The reversal of 40441022160 is 6122014404.

It is a happy number.

It is a super-2 number, since 2×40441022160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40441022160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87724330 + ... + 87724790.

Almost surely, 2^40441022160 is an apocalyptic number.

40441022160 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 40441022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80778829824).

40441022160 is an abundant number, since it is smaller than the sum of its proper divisors (121116637488).

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

40441022160 is a wasteful number, since it uses less digits than its factorization.

40441022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40441022160 its reverse (6122014404), we get a palindrome (46563036564).

The spelling of 40441022160 in words is "forty billion, four hundred forty-one million, twenty-two thousand, one hundred sixty".