4288042195840 has 512 divisors, whose sum is σ = 11981816784000. Its totient is φ = 1453656637440.

The previous prime is 4288042195817. The next prime is 4288042195979. The reversal of 4288042195840 is 485912408824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643556456 + ... + 1643559064.

Almost surely, 2^{4288042195840} is an apocalyptic number.

4288042195840 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 4288042195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990908392000).

4288042195840 is an abundant number, since it is smaller than the sum of its proper divisors (7693774588160).

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

4288042195840 is a wasteful number, since it uses less digits than its factorization.

4288042195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 4288042195840 in words is "four trillion, two hundred eighty-eight billion, forty-two million, one hundred ninety-five thousand, eight hundred forty".