411014421120 has 128 divisors (see below), whose sum is σ = 1311675120000. Its totient is φ = 109472780288.

The previous prime is 411014421073. The next prime is 411014421131. The reversal of 411014421120 is 21124410114.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483306 + ... + 1738454.

It is an arithmetic number, because the mean of its divisors is an integer number (10247461875).

Almost surely, 2^411014421120 is an apocalyptic number.

411014421120 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 411014421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655837560000).

411014421120 is an abundant number, since it is smaller than the sum of its proper divisors (900660698880).

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

411014421120 is a wasteful number, since it uses less digits than its factorization.

411014421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256010 (or 255998 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 411014421120 its reverse (21124410114), we get a palindrome (432138831234).

The spelling of 411014421120 in words is "four hundred eleven billion, fourteen million, four hundred twenty-one thousand, one hundred twenty".