410400141102100 has 144 divisors (see below), whose sum is σ = 925009896577536. Its totient is φ = 157877356608000.

The previous prime is 410400141101981. The next prime is 410400141102209. The reversal of 410400141102100 is 1201141004014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8600687442 + ... + 8600735158.

It is an arithmetic number, because the mean of its divisors is an integer number (6423679837344).

Almost surely, 2^{410400141102100} 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 410400141102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462504948288768).

410400141102100 is an abundant number, since it is smaller than the sum of its proper divisors (514609755475436).

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

410400141102100 is a wasteful number, since it uses less digits than its factorization.

410400141102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64946 (or 64939 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 410400141102100 its reverse (1201141004014), we get a palindrome (411601282106114).

The spelling of 410400141102100 in words is "four hundred ten trillion, four hundred billion, one hundred forty-one million, one hundred two thousand, one hundred".