4027381600 has 144 divisors (see below), whose sum is σ = 11356991856. Its totient is φ = 1378304000.

The previous prime is 4027381597. The next prime is 4027381613. The reversal of 4027381600 is 61837204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136140 + ... + 163060.

It is an arithmetic number, because the mean of its divisors is an integer number (78867999).

Almost surely, 2^4027381600 is an apocalyptic number.

4027381600 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 4027381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678495928).

4027381600 is an abundant number, since it is smaller than the sum of its proper divisors (7329610256).

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

4027381600 is a wasteful number, since it uses less digits than its factorization.

4027381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26969 (or 26956 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4027381600 is about 63461.6545639964. The cubic root of 4027381600 is about 1591.0149499974.

The spelling of 4027381600 in words is "four billion, twenty-seven million, three hundred eighty-one thousand, six hundred".