4055544502464 has 336 divisors, whose sum is σ = 14149847443200. Its totient is φ = 1013299144704.

The previous prime is 4055544502459. The next prime is 4055544502507. The reversal of 4055544502464 is 4642054455504.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4055544502464² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1451157 + ... + 3196395.

It is an arithmetic number, because the mean of its divisors is an integer number (42112641200).

Almost surely, 2^{4055544502464} 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 4055544502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074923721600).

4055544502464 is an abundant number, since it is smaller than the sum of its proper divisors (10094302940736).

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

4055544502464 is a wasteful number, since it uses less digits than its factorization.

4055544502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745300 (or 1745283 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 48.

Adding to 4055544502464 its reverse (4642054455504), we get a palindrome (8697598957968).

The spelling of 4055544502464 in words is "four trillion, fifty-five billion, five hundred forty-four million, five hundred two thousand, four hundred sixty-four".