4282695863160 has 768 divisors, whose sum is σ = 15431731200000. Its totient is φ = 942398945280.

The previous prime is 4282695863111. The next prime is 4282695863179. The reversal of 4282695863160 is 613685962824.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4282695863094 and 4282695863103.

It is a congruent number.

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, 8582556591 + ... + 8582557089.

It is an arithmetic number, because the mean of its divisors is an integer number (20093400000).

Almost surely, 2^{4282695863160} is an apocalyptic number.

4282695863160 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 4282695863160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715865600000).

4282695863160 is an abundant number, since it is smaller than the sum of its proper divisors (11149035336840).

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

4282695863160 is a wasteful number, since it uses less digits than its factorization.

4282695863160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 4282695863160 in words is "four trillion, two hundred eighty-two billion, six hundred ninety-five million, eight hundred sixty-three thousand, one hundred sixty".