40467444040 has 64 divisors (see below), whose sum is σ = 92831151600. Its totient is φ = 15871045632.

The previous prime is 40467444037. The next prime is 40467444067. The reversal of 40467444040 is 4044476404.

It can be written as a sum of positive squares in 8 ways, for example, as 1862267716 + 38605176324 = 43154^2 + 196482^2 .

It is a super-2 number, since 2×40467444040² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3710916 + ... + 3721804.

Almost surely, 2^40467444040 is an apocalyptic number.

40467444040 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 40467444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46415575800).

40467444040 is an abundant number, since it is smaller than the sum of its proper divisors (52363707560).

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

40467444040 is a wasteful number, since it uses less digits than its factorization.

40467444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 37.

The spelling of 40467444040 in words is "forty billion, four hundred sixty-seven million, four hundred forty-four thousand, forty".