4122287859040 has 384 divisors, whose sum is σ = 11431158939648. Its totient is φ = 1390950973440.

The previous prime is 4122287859037. The next prime is 4122287859071. The reversal of 4122287859040 is 409587822214.

It is a super-3 number, since 3×4122287859040³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 211054075 + ... + 211073605.

It is an arithmetic number, because the mean of its divisors is an integer number (29768643072).

Almost surely, 2^{4122287859040} is an apocalyptic number.

4122287859040 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 4122287859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715579469824).

4122287859040 is an abundant number, since it is smaller than the sum of its proper divisors (7308871080608).

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

4122287859040 is a wasteful number, since it uses less digits than its factorization.

4122287859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19750 (or 19742 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 4122287859040 in words is "four trillion, one hundred twenty-two billion, two hundred eighty-seven million, eight hundred fifty-nine thousand, forty".