4181895544680 has 384 divisors, whose sum is σ = 16406704005120. Its totient is φ = 903514590720.

The previous prime is 4181895544657. The next prime is 4181895544703. The reversal of 4181895544680 is 864455981814.

It is a happy number.

4181895544680 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 8 + 9 + 5 + 544 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4181895544657) and next prime (4181895544703).

It is a super-2 number, since 2×4181895544680² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2736699 + ... + 3981621.

It is an arithmetic number, because the mean of its divisors is an integer number (42725791680).

Almost surely, 2^{4181895544680} is an apocalyptic number.

4181895544680 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 4181895544680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203352002560).

4181895544680 is an abundant number, since it is smaller than the sum of its proper divisors (12224808460440).

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

4181895544680 is a wasteful number, since it uses less digits than its factorization.

4181895544680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245021 (or 1245014 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 4181895544680 in words is "four trillion, one hundred eighty-one billion, eight hundred ninety-five million, five hundred forty-four thousand, six hundred eighty".