4007201814 has 128 divisors (see below), whose sum is σ = 11125186560. Its totient is φ = 1038679200.

The previous prime is 4007201791. The next prime is 4007201831. The reversal of 4007201814 is 4181027004.

4007201814 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 (27).

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, 3421449 + ... + 3422619.

It is an arithmetic number, because the mean of its divisors is an integer number (86915520).

Almost surely, 2^4007201814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007201814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562593280).

4007201814 is an abundant number, since it is smaller than the sum of its proper divisors (7117984746).

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

4007201814 is a wasteful number, since it uses less digits than its factorization.

4007201814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4007201814 is about 63302.4629378668. The cubic root of 4007201814 is about 1588.3531613803.

Adding to 4007201814 its reverse (4181027004), we get a palindrome (8188228818).

The spelling of 4007201814 in words is "four billion, seven million, two hundred one thousand, eight hundred fourteen".