415412442124240 has 80 divisors (see below), whose sum is σ = 1053915834444480. Its totient is φ = 151019095362560.

The previous prime is 415412442124181. The next prime is 415412442124271. The reversal of 415412442124240 is 42421244214514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 415412442124193 and 415412442124202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59132749 + ... + 65783788.

It is an arithmetic number, because the mean of its divisors is an integer number (13173947930556).

Almost surely, 2^{415412442124240} is an apocalyptic number.

415412442124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415412442124240 is an abundant number, since it is smaller than the sum of its proper divisors (638503392320240).

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

415412442124240 is a wasteful number, since it uses less digits than its factorization.

415412442124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124920340 (or 124920334 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 40.

Adding to 415412442124240 its reverse (42421244214514), we get a palindrome (457833686338754).

The spelling of 415412442124240 in words is "four hundred fifteen trillion, four hundred twelve billion, four hundred forty-two million, one hundred twenty-four thousand, two hundred forty".