4181144002560 has 1008 divisors, whose sum is σ = 17486560714896. Its totient is φ = 955578580992.

The previous prime is 4181144002547. The next prime is 4181144002573. The reversal of 4181144002560 is 652004411814.

4181144002560 is a `hidden beast` number, since 4 + 1 + 81 + 14 + 4 + 0 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4181144002547) and next prime (4181144002573).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487706434 + ... + 487715006.

It is an arithmetic number, because the mean of its divisors is an integer number (17347778487).

Almost surely, 2^{4181144002560} is an apocalyptic number.

4181144002560 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 4181144002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743280357448).

4181144002560 is an abundant number, since it is smaller than the sum of its proper divisors (13305416712336).

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

4181144002560 is an frugal number, since it uses more digits than its factorization.

4181144002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 4181144002560 in words is "four trillion, one hundred eighty-one billion, one hundred forty-four million, two thousand, five hundred sixty".