4284201426144 has 96 divisors (see below), whose sum is σ = 11264851866240. Its totient is φ = 1425678008832.

The previous prime is 4284201426133. The next prime is 4284201426163. The reversal of 4284201426144 is 4416241024824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4284201426096 and 4284201426105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403137759 + ... + 403148385.

It is an arithmetic number, because the mean of its divisors is an integer number (117342206940).

Almost surely, 2^{4284201426144} is an apocalyptic number.

It is an amenable number.

4284201426144 is an abundant number, since it is smaller than the sum of its proper divisors (6980650440096).

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

4284201426144 is a wasteful number, since it uses less digits than its factorization.

4284201426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 4284201426144 in words is "four trillion, two hundred eighty-four billion, two hundred one million, four hundred twenty-six thousand, one hundred forty-four".