4167232740 has 216 divisors, whose sum is σ = 14089925304. Its totient is φ = 996019200.

The previous prime is 4167232739. The next prime is 4167232789. The reversal of 4167232740 is 472327614.

4167232740 is a `hidden beast` number, since 416 + 7 + 232 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1071645696 + 3095587044 = 32736^2 + 55638^2 .

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 = 4167232695 and 4167232704.

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 71 ways as a sum of consecutive naturals, for example, 1588630 + ... + 1591250.

Almost surely, 2^4167232740 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 4167232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044962652).

4167232740 is an abundant number, since it is smaller than the sum of its proper divisors (9922692564).

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

4167232740 is a wasteful number, since it uses less digits than its factorization.

4167232740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4167232740 is about 64554.1070730593. The cubic root of 4167232740 is about 1609.2218427488.

The spelling of 4167232740 in words is "four billion, one hundred sixty-seven million, two hundred thirty-two thousand, seven hundred forty".