4252014000 has 480 divisors, whose sum is σ = 16610228544. Its totient is φ = 1045094400.

The previous prime is 4252013999. The next prime is 4252014029. The reversal of 4252014000 is 4102524.

4252014000 is a `hidden beast` number, since 4 + 2 + 520 + 140 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6317664 + ... + 6318336.

Almost surely, 2^4252014000 is an apocalyptic number.

4252014000 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 4252014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305114272).

4252014000 is an abundant number, since it is smaller than the sum of its proper divisors (12358214544).

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

4252014000 is a wasteful number, since it uses less digits than its factorization.

4252014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4252014000 is about 65207.4688973587. The cubic root of 4252014000 is about 1620.0617260431.

Adding to 4252014000 its reverse (4102524), we get a palindrome (4256116524).

It can be divided in two parts, 425201 and 4000, that added together give a triangular number (429201 = T₉₂₆).

The spelling of 4252014000 in words is "four billion, two hundred fifty-two million, fourteen thousand".