4466886477000 has 256 divisors, whose sum is σ = 13978792339200. Its totient is φ = 1187577036800.

The previous prime is 4466886476993. The next prime is 4466886477013. The reversal of 4466886477000 is 7746886644.

It is a Cunningham number, because it is equal to 2113501²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2379800062 + ... + 2379801938.

It is an arithmetic number, because the mean of its divisors is an integer number (54604657575).

Almost surely, 2^{4466886477000} is an apocalyptic number.

4466886477000 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 4466886477000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989396169600).

4466886477000 is an abundant number, since it is smaller than the sum of its proper divisors (9511905862200).

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

4466886477000 is a wasteful number, since it uses less digits than its factorization.

4466886477000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 4466886477000 in words is "four trillion, four hundred sixty-six billion, eight hundred eighty-six million, four hundred seventy-seven thousand".