4015430345104 has 40 divisors (see below), whose sum is σ = 8545423861440. Its totient is φ = 1819348299648.

The previous prime is 4015430345099. The next prime is 4015430345117.

4015430345104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4015430345104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4015430345104.

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 7 ways as a sum of consecutive naturals, for example, 287137627 + ... + 287151610.

It is an arithmetic number, because the mean of its divisors is an integer number (213635596536).

Almost surely, 2^{4015430345104} is an apocalyptic number.

It is an amenable number.

4015430345104 is an abundant number, since it is smaller than the sum of its proper divisors (4529993516336).

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

4015430345104 is a wasteful number, since it uses less digits than its factorization.

4015430345104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574289287 (or 574289281 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 4015430345104 in words is "four trillion, fifteen billion, four hundred thirty million, three hundred forty-five thousand, one hundred four".