4127425632 has 360 divisors, whose sum is σ = 14010647112. Its totient is φ = 1181952000.

The previous prime is 4127425619. The next prime is 4127425633. The reversal of 4127425632 is 2365247214.

4127425632 is a `hidden beast` number, since 4 + 12 + 7 + 4 + 2 + 5 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127425633) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10292632 + ... + 10293032.

Almost surely, 2^4127425632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005323556).

4127425632 is an abundant number, since it is smaller than the sum of its proper divisors (9883221480).

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

4127425632 is a wasteful number, since it uses less digits than its factorization.

4127425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 436 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4127425632 is about 64245.0436376224. The cubic root of 4127425632 is about 1604.0814588722.

The spelling of 4127425632 in words is "four billion, one hundred twenty-seven million, four hundred twenty-five thousand, six hundred thirty-two".