4167021240 has 256 divisors, whose sum is σ = 14548377600. Its totient is φ = 1059609600.

The previous prime is 4167021239. The next prime is 4167021247. The reversal of 4167021240 is 421207614.

4167021240 is a `hidden beast` number, since 416 + 7 + 0 + 2 + 1 + 240 = 666.

It is a super-2 number, since 2×4167021240² = 34728132029222275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167021247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2376204 + ... + 2377956.

It is an arithmetic number, because the mean of its divisors is an integer number (56829600).

Almost surely, 2^4167021240 is an apocalyptic number.

4167021240 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 4167021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274188800).

4167021240 is an abundant number, since it is smaller than the sum of its proper divisors (10381356360).

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

4167021240 is a wasteful number, since it uses less digits than its factorization.

4167021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4167021240 is about 64552.4688915924. The cubic root of 4167021240 is about 1609.1946179533.

Adding to 4167021240 its reverse (421207614), we get a palindrome (4588228854).

The spelling of 4167021240 in words is "four billion, one hundred sixty-seven million, twenty-one thousand, two hundred forty".