4401261446456 has 32 divisors (see below), whose sum is σ = 9459767844480. Its totient is φ = 1880556242400.

The previous prime is 4401261446401. The next prime is 4401261446459. The reversal of 4401261446456 is 6546441621044.

It is a happy number.

It is a super-3 number, since 3×4401261446456³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4401261446456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401261446459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118703450 + ... + 118740521.

It is an arithmetic number, because the mean of its divisors is an integer number (295617745140).

Almost surely, 2^{4401261446456} is an apocalyptic number.

It is an amenable number.

4401261446456 is an abundant number, since it is smaller than the sum of its proper divisors (5058506398024).

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

4401261446456 is a wasteful number, since it uses less digits than its factorization.

4401261446456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237444315 (or 237444311 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 4401261446456 in words is "four trillion, four hundred one billion, two hundred sixty-one million, four hundred forty-six thousand, four hundred fifty-six".