4181466549960 has 768 divisors, whose sum is σ = 17224241760000. Its totient is φ = 897129934848.

The previous prime is 4181466549929. The next prime is 4181466550021. The reversal of 4181466549960 is 699456641814.

It is a happy number.

4181466549960 is a `hidden beast` number, since 4 + 1 + 81 + 4 + 6 + 6 + 5 + 499 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109578244 + ... + 109616396.

It is an arithmetic number, because the mean of its divisors is an integer number (22427398125).

Almost surely, 2^{4181466549960} is an apocalyptic number.

4181466549960 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 4181466549960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612120880000).

4181466549960 is an abundant number, since it is smaller than the sum of its proper divisors (13042775210040).

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

4181466549960 is a wasteful number, since it uses less digits than its factorization.

4181466549960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38315 (or 38298 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4181466549960 in words is "four trillion, one hundred eighty-one billion, four hundred sixty-six million, five hundred forty-nine thousand, nine hundred sixty".