4151879424 has 576 divisors, whose sum is σ = 15894144000. Its totient is φ = 1037352960.

The previous prime is 4151879423. The next prime is 4151879489. The reversal of 4151879424 is 4249781514.

4151879424 is a `hidden beast` number, since 4 + 151 + 8 + 79 + 424 = 666.

4151879424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4151879424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151879423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15434362 + ... + 15434630.

It is an arithmetic number, because the mean of its divisors is an integer number (27594000).

Almost surely, 2^4151879424 is an apocalyptic number.

4151879424 is a gapful number since it is divisible by the number (44) 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 4151879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947072000).

4151879424 is an abundant number, since it is smaller than the sum of its proper divisors (11742264576).

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

4151879424 is a wasteful number, since it uses less digits than its factorization.

4151879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4151879424 is about 64435.0791417222. The cubic root of 4151879424 is about 1607.2431278747.

The spelling of 4151879424 in words is "four billion, one hundred fifty-one million, eight hundred seventy-nine thousand, four hundred twenty-four".