411361428100 has 72 divisors (see below), whose sum is σ = 1021457747520. Its totient is φ = 140861051520.

The previous prime is 411361428089. The next prime is 411361428131. The reversal of 411361428100 is 1824163114.

It is a super-2 number, since 2×411361428100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189231 + ... + 926569.

It is an arithmetic number, because the mean of its divisors is an integer number (14186913160).

Almost surely, 2^411361428100 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 411361428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510728873760).

411361428100 is an abundant number, since it is smaller than the sum of its proper divisors (610096319420).

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

411361428100 is a wasteful number, since it uses less digits than its factorization.

411361428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738157 (or 738150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

It can be divided in two parts, 4 and 11361428100, that multiplied together give a square (45445712400 = 213180²).

The spelling of 411361428100 in words is "four hundred eleven billion, three hundred sixty-one million, four hundred twenty-eight thousand, one hundred".