40448788784404 has 72 divisors (see below), whose sum is σ = 96737662754208. Its totient is φ = 14547016935360.

The previous prime is 40448788784377. The next prime is 40448788784441.

40448788784404 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×40448788784404³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721550194 + ... + 721606249.

It is an arithmetic number, because the mean of its divisors is an integer number (1343578649364).

Almost surely, 2^{40448788784404} is an apocalyptic number.

40448788784404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40448788784404 is an abundant number, since it is smaller than the sum of its proper divisors (56288873969804).

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

40448788784404 is a wasteful number, since it uses less digits than its factorization.

40448788784404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443156485 (or 1443156476 counting only the distinct ones).

The product of its (nonzero) digits is 822083584, while the sum is 70.

The spelling of 40448788784404 in words is "forty trillion, four hundred forty-eight billion, seven hundred eighty-eight million, seven hundred eighty-four thousand, four hundred four".