40204444416 has 72 divisors (see below), whose sum is σ = 107540563200. Its totient is φ = 13334086656.

The previous prime is 40204444393. The next prime is 40204444499. The reversal of 40204444416 is 61444440204.

It is a super-3 number, since 3×40204444416³ (a number of 33 digits) contains 333 as substring.

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, 21301 + ... + 284363.

Almost surely, 2^40204444416 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 40204444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53770281600).

40204444416 is an abundant number, since it is smaller than the sum of its proper divisors (67336118784).

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

40204444416 is a wasteful number, since it uses less digits than its factorization.

40204444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263281 (or 263267 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

It can be divided in two parts, 40204 and 444416, that added together give a triangular number (484620 = T₉₈₄).

The spelling of 40204444416 in words is "forty billion, two hundred four million, four hundred forty-four thousand, four hundred sixteen".