415349379486720 has 1760 divisors, whose sum is σ = 1751729903455488. Its totient is φ = 92134184583168.

The previous prime is 415349379486707. The next prime is 415349379486773. The reversal of 415349379486720 is 27684973943514.

415349379486720 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 4 + 9 + 3 + 79 + 486 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19598412444 + ... + 19598433636.

It is a 1-persistent number, because it is pandigital, but 2⋅415349379486720 = 830698758973440 is not.

Almost surely, 2^{415349379486720} is an apocalyptic number.

415349379486720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415349379486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875864951727744).

415349379486720 is an abundant number, since it is smaller than the sum of its proper divisors (1336380523968768).

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

415349379486720 is a wasteful number, since it uses less digits than its factorization.

415349379486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 415349379486720 in words is "four hundred fifteen trillion, three hundred forty-nine billion, three hundred seventy-nine million, four hundred eighty-six thousand, seven hundred twenty".