40446181776 has 320 divisors, whose sum is σ = 144086777856. Its totient is φ = 9434880000.

The previous prime is 40446181753. The next prime is 40446181801. The reversal of 40446181776 is 67718164404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766401 + ... + 1789151.

Almost surely, 2^40446181776 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 40446181776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72043388928).

40446181776 is an abundant number, since it is smaller than the sum of its proper divisors (103640596080).

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

40446181776 is a wasteful number, since it uses less digits than its factorization.

40446181776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22830 (or 22824 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

It can be divided in two parts, 40446 and 181776, that added together give a palindrome (222222).

The spelling of 40446181776 in words is "forty billion, four hundred forty-six million, one hundred eighty-one thousand, seven hundred seventy-six".