411947441998080 has 576 divisors, whose sum is σ = 1333447348681728. Its totient is φ = 108376764088320.

The previous prime is 411947441998061. The next prime is 411947441998093. The reversal of 411947441998080 is 80899144749114.

It is a happy number.

It is a super-2 number, since 2×411947441998080² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 411947441997996 and 411947441998014.

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, 110352915894 + ... + 110352919626.

It is an arithmetic number, because the mean of its divisors is an integer number (2315012758128).

Almost surely, 2^{411947441998080} is an apocalyptic number.

411947441998080 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 411947441998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666723674340864).

411947441998080 is an abundant number, since it is smaller than the sum of its proper divisors (921499906683648).

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

411947441998080 is a wasteful number, since it uses less digits than its factorization.

411947441998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 69.

The spelling of 411947441998080 in words is "four hundred eleven trillion, nine hundred forty-seven billion, four hundred forty-one million, nine hundred ninety-eight thousand, eighty".