4214595840 has 432 divisors, whose sum is σ = 16872222528. Its totient is φ = 888717312.

The previous prime is 4214595821. The next prime is 4214595857. The reversal of 4214595840 is 485954124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4214595792 and 4214595801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445219 + ... + 2446941.

Almost surely, 2^4214595840 is an apocalyptic number.

4214595840 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 4214595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436111264).

4214595840 is an abundant number, since it is smaller than the sum of its proper divisors (12657626688).

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

4214595840 is a wasteful number, since it uses less digits than its factorization.

4214595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 4214595840 is about 64919.9186690803. The cubic root of 4214595840 is about 1615.2954808937.

The spelling of 4214595840 in words is "four billion, two hundred fourteen million, five hundred ninety-five thousand, eight hundred forty".