4132257840 has 120 divisors (see below), whose sum is σ = 14325237888. Its totient is φ = 1066383360.

The previous prime is 4132257827. The next prime is 4132257887. The reversal of 4132257840 is 487522314.

It is a happy number.

4132257840 is a `hidden beast` number, since 41 + 3 + 2 + 2 + 578 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 4132257795 and 4132257804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70249 + ... + 114888.

Almost surely, 2^4132257840 is an apocalyptic number.

4132257840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132257840 is an abundant number, since it is smaller than the sum of its proper divisors (10192980048).

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

4132257840 is a wasteful number, since it uses less digits than its factorization.

4132257840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185187 (or 185178 counting only the distinct ones).

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

The square root of 4132257840 is about 64282.6402693604. The cubic root of 4132257840 is about 1604.7072106904.

The spelling of 4132257840 in words is "four billion, one hundred thirty-two million, two hundred fifty-seven thousand, eight hundred forty".