4125932640 has 480 divisors, whose sum is σ = 15721431264. Its totient is φ = 1015234560.

The previous prime is 4125932633. The next prime is 4125932663. The reversal of 4125932640 is 462395214.

It is a happy number.

4125932640 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 9 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4125932595 and 4125932604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13439367 + ... + 13439673.

Almost surely, 2^4125932640 is an apocalyptic number.

4125932640 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 4125932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860715632).

4125932640 is an abundant number, since it is smaller than the sum of its proper divisors (11595498624).

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

4125932640 is a wasteful number, since it uses less digits than its factorization.

4125932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4125932640 is about 64233.4230755298. The cubic root of 4125932640 is about 1603.8880235593. Note that the first 3 decimals are identical.

The spelling of 4125932640 in words is "four billion, one hundred twenty-five million, nine hundred thirty-two thousand, six hundred forty".