4125687881040 has 480 divisors, whose sum is σ = 15650047475712. Its totient is φ = 964960128000.

The previous prime is 4125687881017. The next prime is 4125687881053. The reversal of 4125687881040 is 401887865214.

4125687881040 is a `hidden beast` number, since 4 + 1 + 2 + 568 + 78 + 8 + 1 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81241737 + ... + 81292503.

Almost surely, 2^{4125687881040} is an apocalyptic number.

4125687881040 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 4125687881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825023737856).

4125687881040 is an abundant number, since it is smaller than the sum of its proper divisors (11524359594672).

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

4125687881040 is a wasteful number, since it uses less digits than its factorization.

4125687881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51159 (or 51150 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 4125687881040 in words is "four trillion, one hundred twenty-five billion, six hundred eighty-seven million, eight hundred eighty-one thousand, forty".