4466641259520 has 1408 divisors, whose sum is σ = 18819875635200. Its totient is φ = 992541081600.

The previous prime is 4466641259503. The next prime is 4466641259567. The reversal of 4466641259520 is 259521466644.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895654467 + ... + 895659453.

Almost surely, 2^{4466641259520} is an apocalyptic number.

4466641259520 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 4466641259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409937817600).

4466641259520 is an abundant number, since it is smaller than the sum of its proper divisors (14353234375680).

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

4466641259520 is a wasteful number, since it uses less digits than its factorization.

4466641259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4466641259520 in words is "four trillion, four hundred sixty-six billion, six hundred forty-one million, two hundred fifty-nine thousand, five hundred twenty".