2415412145142 has 48 divisors (see below), whose sum is σ = 5469586806528. Its totient is φ = 768910831920.

The previous prime is 2415412145053. The next prime is 2415412145147.

It is a happy number.

2415412145142 is a `hidden beast` number, since 2 + 4 + 1 + 541 + 21 + 4 + 51 + 42 = 666.

2415412145142 is nontrivially palindromic in base 10.

2415412145142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2415412145097 and 2415412145106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415412145147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4361848 + ... + 4884315.

It is an arithmetic number, because the mean of its divisors is an integer number (113949725136).

Almost surely, 2^{2415412145142} is an apocalyptic number.

2415412145142 is an abundant number, since it is smaller than the sum of its proper divisors (3054174661386).

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

2415412145142 is a wasteful number, since it uses less digits than its factorization.

2415412145142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246825 (or 9246822 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 2415412145142 in words is "two trillion, four hundred fifteen billion, four hundred twelve million, one hundred forty-five thousand, one hundred forty-two".