4286269934640 has 640 divisors, whose sum is σ = 15405792537600. Its totient is φ = 1094670581760.

The previous prime is 4286269934593. The next prime is 4286269934641. The reversal of 4286269934640 is 464399626824.

4286269934640 is a `hidden beast` number, since 4 + 2 + 86 + 2 + 6 + 9 + 93 + 464 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4286269934641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 831798304 + ... + 831803456.

It is an arithmetic number, because the mean of its divisors is an integer number (24071550840).

Almost surely, 2^{4286269934640} is an apocalyptic number.

4286269934640 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 4286269934640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702896268800).

4286269934640 is an abundant number, since it is smaller than the sum of its proper divisors (11119522602960).

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

4286269934640 is a wasteful number, since it uses less digits than its factorization.

4286269934640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 4286269934640 in words is "four trillion, two hundred eighty-six billion, two hundred sixty-nine million, nine hundred thirty-four thousand, six hundred forty".