415405167630340 has 24 divisors (see below), whose sum is σ = 872351369554392. Its totient is φ = 166161968474880.

The previous prime is 415405167630329. The next prime is 415405167630443. The reversal of 415405167630340 is 43036761504514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 303948330964996 + 111456836665344 = 17434114^2 + 10557312^2 .

It is a super-2 number, since 2×415405167630340² (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 35149722 + ... + 45456718.

It is an arithmetic number, because the mean of its divisors is an integer number (36347973731433).

Almost surely, 2^{415405167630340} is an apocalyptic number.

It is an amenable number.

415405167630340 is an abundant number, since it is smaller than the sum of its proper divisors (456946201924052).

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

415405167630340 is a wasteful number, since it uses less digits than its factorization.

415405167630340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322167 (or 12322165 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 415405167630340 in words is "four hundred fifteen trillion, four hundred five billion, one hundred sixty-seven million, six hundred thirty thousand, three hundred forty".