415043212113540 has 192 divisors, whose sum is σ = 1335208711710720. Its totient is φ = 106922294231040.

The previous prime is 415043212113527. The next prime is 415043212113557. The reversal of 415043212113540 is 45311212340514.

415043212113540 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 432 + 1 + 211 + 3 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415043212113495 and 415043212113504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11825857 + ... + 31143816.

It is an arithmetic number, because the mean of its divisors is an integer number (6954212040160).

Almost surely, 2^{415043212113540} is an apocalyptic number.

It is an amenable number.

415043212113540 is an abundant number, since it is smaller than the sum of its proper divisors (920165499597180).

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

415043212113540 is a wasteful number, since it uses less digits than its factorization.

415043212113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42970299 (or 42970291 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 415043212113540 in words is "four hundred fifteen trillion, forty-three billion, two hundred twelve million, one hundred thirteen thousand, five hundred forty".