4157429976 has 160 divisors (see below), whose sum is σ = 14008896000. Its totient is φ = 1125296064.

The previous prime is 4157429953. The next prime is 4157429981. The reversal of 4157429976 is 6799247514.

4157429976 is a `hidden beast` number, since 41 + 574 + 29 + 9 + 7 + 6 = 666.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62065 + ... + 110303.

It is an arithmetic number, because the mean of its divisors is an integer number (87555600).

Almost surely, 2^4157429976 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 4157429976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004448000).

4157429976 is an abundant number, since it is smaller than the sum of its proper divisors (9851466024).

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

4157429976 is a wasteful number, since it uses less digits than its factorization.

4157429976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48283 (or 48270 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 4157429976 is about 64478.1356430224. The cubic root of 4157429976 is about 1607.9590377180.

The spelling of 4157429976 in words is "four billion, one hundred fifty-seven million, four hundred twenty-nine thousand, nine hundred seventy-six".