4257141516 has 96 divisors (see below), whose sum is σ = 11186380800. Its totient is φ = 1399953600.

The previous prime is 4257141503. The next prime is 4257141517. The reversal of 4257141516 is 6151417524.

4257141516 is a `hidden beast` number, since 42 + 571 + 41 + 5 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4257141517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177255 + ... + 4178273.

It is an arithmetic number, because the mean of its divisors is an integer number (116524800).

Almost surely, 2^4257141516 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 4257141516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

4257141516 is an abundant number, since it is smaller than the sum of its proper divisors (6929239284).

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

4257141516 is a wasteful number, since it uses less digits than its factorization.

4257141516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 4257141516 is about 65246.7739892173. The cubic root of 4257141516 is about 1620.7126768282.

The spelling of 4257141516 in words is "four billion, two hundred fifty-seven million, one hundred forty-one thousand, five hundred sixteen".