4167979740 has 288 divisors, whose sum is σ = 13631514624. Its totient is φ = 1068318720.

The previous prime is 4167979727. The next prime is 4167979793. The reversal of 4167979740 is 479797614.

It is a super-2 number, since 2×4167979740² = 34744110226100935200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16217692 + ... + 16217948.

It is an arithmetic number, because the mean of its divisors is an integer number (47331648).

Almost surely, 2^4167979740 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 4167979740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815757312).

4167979740 is an abundant number, since it is smaller than the sum of its proper divisors (9463534884).

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

4167979740 is a wasteful number, since it uses less digits than its factorization.

4167979740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 4167979740 is about 64559.8926579033. The cubic root of 4167979740 is about 1609.3179910381.

The spelling of 4167979740 in words is "four billion, one hundred sixty-seven million, nine hundred seventy-nine thousand, seven hundred forty".