411354254131044 has 192 divisors, whose sum is σ = 1181332069908480. Its totient is φ = 108727245342720.

The previous prime is 411354254130871. The next prime is 411354254131087. The reversal of 411354254131044 is 440131452453114.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 411354254130987 and 411354254131005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123707569 + ... + 126989255.

It is an arithmetic number, because the mean of its divisors is an integer number (6152771197440).

Almost surely, 2^{411354254131044} 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 411354254131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590666034954240).

411354254131044 is an abundant number, since it is smaller than the sum of its proper divisors (769977815777436).

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

411354254131044 is a wasteful number, since it uses less digits than its factorization.

411354254131044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283218 (or 3283216 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 411354254131044 in words is "four hundred eleven trillion, three hundred fifty-four billion, two hundred fifty-four million, one hundred thirty-one thousand, forty-four".