4127397840 has 240 divisors, whose sum is σ = 14819051520. Its totient is φ = 1026938880.

The previous prime is 4127397839. The next prime is 4127397889. The reversal of 4127397840 is 487937214.

4127397840 is a `hidden beast` number, since 412 + 73 + 97 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675921 + ... + 681999.

It is an arithmetic number, because the mean of its divisors is an integer number (61746048).

Almost surely, 2^4127397840 is an apocalyptic number.

4127397840 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 4127397840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

4127397840 is an abundant number, since it is smaller than the sum of its proper divisors (10691653680).

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

4127397840 is a wasteful number, since it uses less digits than its factorization.

4127397840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4127397840 is about 64244.8273404171. The cubic root of 4127397840 is about 1604.0778585059.

The spelling of 4127397840 in words is "four billion, one hundred twenty-seven million, three hundred ninety-seven thousand, eight hundred forty".