4281671540160 has 504 divisors, whose sum is σ = 17372932158816. Its totient is φ = 964881469440.

The previous prime is 4281671540099. The next prime is 4281671540171. The reversal of 4281671540160 is 610451761824.

4281671540160 is a `hidden beast` number, since 4 + 28 + 1 + 6 + 71 + 540 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4281671540160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9805854 + ... + 10233186.

Almost surely, 2^{4281671540160} is an apocalyptic number.

4281671540160 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 4281671540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686466079408).

4281671540160 is an abundant number, since it is smaller than the sum of its proper divisors (13091260618656).

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

4281671540160 is a wasteful number, since it uses less digits than its factorization.

4281671540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427441 (or 427421 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4281671540160 in words is "four trillion, two hundred eighty-one billion, six hundred seventy-one million, five hundred forty thousand, one hundred sixty".