411125220623100 has 144 divisors (see below), whose sum is σ = 1200518623327968. Its totient is φ = 108620665896960.

The previous prime is 411125220623069. The next prime is 411125220623189. The reversal of 411125220623100 is 1326022521114.

It is a super-2 number, since 2×411125220623100² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84310852 + ... + 89053748.

It is an arithmetic number, because the mean of its divisors is an integer number (8336934884222).

Almost surely, 2^{411125220623100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411125220623100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600259311663984).

411125220623100 is an abundant number, since it is smaller than the sum of its proper divisors (789393402704868).

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

411125220623100 is a wasteful number, since it uses less digits than its factorization.

411125220623100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745584 (or 4745577 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 411125220623100 in words is "four hundred eleven trillion, one hundred twenty-five billion, two hundred twenty million, six hundred twenty-three thousand, one hundred".