413720248320 has 576 divisors, whose sum is σ = 1491824355840. Its totient is φ = 108772982784.

The previous prime is 413720248301. The next prime is 413720248367. The reversal of 413720248320 is 23842027314.

It is a happy number.

413720248320 is a `hidden beast` number, since 4 + 137 + 20 + 2 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822556047 + ... + 1822556273.

It is an arithmetic number, because the mean of its divisors is an integer number (2589972840).

Almost surely, 2^413720248320 is an apocalyptic number.

413720248320 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 413720248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745912177920).

413720248320 is an abundant number, since it is smaller than the sum of its proper divisors (1078104107520).

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

413720248320 is an equidigital number, since it uses as much as digits as its factorization.

413720248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 413720248320 in words is "four hundred thirteen billion, seven hundred twenty million, two hundred forty-eight thousand, three hundred twenty".