4027438051200 has 288 divisors, whose sum is σ = 14406000538800. Its totient is φ = 1071354470400.

The previous prime is 4027438051177. The next prime is 4027438051253. The reversal of 4027438051200 is 21508347204.

It is a happy number.

4027438051200 is a `hidden beast` number, since 4 + 0 + 2 + 74 + 380 + 5 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 11608245 + ... + 11950155.

Almost surely, 2^{4027438051200} is an apocalyptic number.

4027438051200 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 4027438051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203000269400).

4027438051200 is an abundant number, since it is smaller than the sum of its proper divisors (10378562487600).

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

4027438051200 is a wasteful number, since it uses less digits than its factorization.

4027438051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342350 (or 342330 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4027438051200 in words is "four trillion, twenty-seven billion, four hundred thirty-eight million, fifty-one thousand, two hundred".