4027205952 has 784 divisors, whose sum is σ = 15991027200. Its totient is φ = 974177280.

The previous prime is 4027205929. The next prime is 4027205969. The reversal of 4027205952 is 2595027204.

It is a happy number.

4027205952 is a `hidden beast` number, since 40 + 2 + 7 + 20 + 595 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68257699 + ... + 68257757.

Almost surely, 2^4027205952 is an apocalyptic number.

4027205952 is a gapful number since it is divisible by the number (42) 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 4027205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995513600).

4027205952 is an abundant number, since it is smaller than the sum of its proper divisors (11963821248).

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

4027205952 is a wasteful number, since it uses less digits than its factorization.

4027205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4027205952 is about 63460.2706581055. The cubic root of 4027205952 is about 1590.9918197783.

The spelling of 4027205952 in words is "four billion, twenty-seven million, two hundred five thousand, nine hundred fifty-two".