4285591712640 has 768 divisors, whose sum is σ = 18166412160000. Its totient is φ = 927999700992.

The previous prime is 4285591712627. The next prime is 4285591712713. The reversal of 4285591712640 is 462171955824.

4285591712640 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 591 + 7 + 1 + 2 + 6 + 40 = 666.

It is a congruent number.

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, 37480837 + ... + 37595003.

It is an arithmetic number, because the mean of its divisors is an integer number (23654182500).

Almost surely, 2^{4285591712640} is an apocalyptic number.

4285591712640 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 4285591712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083206080000).

4285591712640 is an abundant number, since it is smaller than the sum of its proper divisors (13880820447360).

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

4285591712640 is a wasteful number, since it uses less digits than its factorization.

4285591712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114232 (or 114203 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4285591712640 in words is "four trillion, two hundred eighty-five billion, five hundred ninety-one million, seven hundred twelve thousand, six hundred forty".