413225541120 has 320 divisors, whose sum is σ = 1510863298560. Its totient is φ = 94381867008.

The previous prime is 413225541109. The next prime is 413225541149. The reversal of 413225541120 is 21145522314.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 120366924 + ... + 120370356.

It is an arithmetic number, because the mean of its divisors is an integer number (4721447808).

Almost surely, 2^413225541120 is an apocalyptic number.

413225541120 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 413225541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755431649280).

413225541120 is an abundant number, since it is smaller than the sum of its proper divisors (1097637757440).

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

413225541120 is a wasteful number, since it uses less digits than its factorization.

413225541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 413225541120 in words is "four hundred thirteen billion, two hundred twenty-five million, five hundred forty-one thousand, one hundred twenty".