411142260480 has 576 divisors, whose sum is σ = 1530584875008. Its totient is φ = 92118712320.

The previous prime is 411142260461. The next prime is 411142260493. The reversal of 411142260480 is 84062241114.

It is a congruent number.

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, 374787292 + ... + 374788388.

It is an arithmetic number, because the mean of its divisors is an integer number (2657265408).

Almost surely, 2^411142260480 is an apocalyptic number.

411142260480 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 411142260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765292437504).

411142260480 is an abundant number, since it is smaller than the sum of its proper divisors (1119442614528).

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

411142260480 is a wasteful number, since it uses less digits than its factorization.

411142260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 411142260480 in words is "four hundred eleven billion, one hundred forty-two million, two hundred sixty thousand, four hundred eighty".