4201386840 has 128 divisors (see below), whose sum is σ = 16005312000. Its totient is φ = 960315264.

The previous prime is 4201386811. The next prime is 4201386857. The reversal of 4201386840 is 486831024.

4201386840 is a `hidden beast` number, since 420 + 138 + 68 + 40 = 666.

4201386840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4201386795 and 4201386804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270310 + ... + 285429.

It is an arithmetic number, because the mean of its divisors is an integer number (125041500).

Almost surely, 2^4201386840 is an apocalyptic number.

4201386840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201386840 is an abundant number, since it is smaller than the sum of its proper divisors (11803925160).

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

4201386840 is a wasteful number, since it uses less digits than its factorization.

4201386840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555766 (or 555756 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4201386840 is about 64818.1058038570. The cubic root of 4201386840 is about 1613.6062111949.

The spelling of 4201386840 in words is "four billion, two hundred one million, three hundred eighty-six thousand, eight hundred forty".