4152478742514 has 64 divisors (see below), whose sum is σ = 9772169702400. Its totient is φ = 1302520898304.

The previous prime is 4152478742479. The next prime is 4152478742543.

4152478742514 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 4 + 7 + 87 + 42 + 514 = 666.

4152478742514 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4152478742514² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5167327 + ... + 5916605.

It is an arithmetic number, because the mean of its divisors is an integer number (152690151600).

Almost surely, 2^{4152478742514} is an apocalyptic number.

4152478742514 is an abundant number, since it is smaller than the sum of its proper divisors (5619690959886).

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

4152478742514 is a wasteful number, since it uses less digits than its factorization.

4152478742514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755344 (or 755338 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The spelling of 4152478742514 in words is "four trillion, one hundred fifty-two billion, four hundred seventy-eight million, seven hundred forty-two thousand, five hundred fourteen".