415413038124 has 144 divisors (see below), whose sum is σ = 1206773568000. Its totient is φ = 118029477888.

The previous prime is 415413038123. The next prime is 415413038137. The reversal of 415413038124 is 421830314514.

415413038124 is a `hidden beast` number, since 4 + 1 + 541 + 30 + 3 + 81 + 2 + 4 = 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 (415413038123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34730457 + ... + 34742415.

It is an arithmetic number, because the mean of its divisors is an integer number (8380372000).

Almost surely, 2^415413038124 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 415413038124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603386784000).

415413038124 is an abundant number, since it is smaller than the sum of its proper divisors (791360529876).

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

415413038124 is a wasteful number, since it uses less digits than its factorization.

415413038124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12727 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 415413038124 in words is "four hundred fifteen billion, four hundred thirteen million, thirty-eight thousand, one hundred twenty-four".