4214002040 has 64 divisors (see below), whose sum is σ = 9995952960. Its totient is φ = 1595658240.

The previous prime is 4214002003. The next prime is 4214002049. The reversal of 4214002040 is 402004124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214002049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65630 + ... + 112850.

It is an arithmetic number, because the mean of its divisors is an integer number (156186765).

Almost surely, 2^4214002040 is an apocalyptic number.

4214002040 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 4214002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997976480).

4214002040 is an abundant number, since it is smaller than the sum of its proper divisors (5781950920).

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

4214002040 is a wasteful number, since it uses less digits than its factorization.

4214002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47352 (or 47348 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4214002040 is about 64915.3451812435. The cubic root of 4214002040 is about 1615.2196169563.

Adding to 4214002040 its reverse (402004124), we get a palindrome (4616006164).

The spelling of 4214002040 in words is "four billion, two hundred fourteen million, two thousand, forty".