4132067940 has 1152 divisors, whose sum is σ = 19020718080. Its totient is φ = 696729600.

The previous prime is 4132067939. The next prime is 4132067963. The reversal of 4132067940 is 497602314.

4132067940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4132067895 and 4132067904.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58198105 + ... + 58198175.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^4132067940 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 4132067940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

4132067940 is an abundant number, since it is smaller than the sum of its proper divisors (14888650140).

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

4132067940 is a wasteful number, since it uses less digits than its factorization.

4132067940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4132067940 is about 64281.1631817596. The cubic root of 4132067940 is about 1604.6826286032.

The spelling of 4132067940 in words is "four billion, one hundred thirty-two million, sixty-seven thousand, nine hundred forty".