411237679104 has 1224 divisors, whose sum is σ = 1566409598208. Its totient is φ = 107017666560.

The previous prime is 411237679081. The next prime is 411237679141. The reversal of 411237679104 is 401976732114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a self number, because there is not a number n which added to its sum of digits gives 411237679104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13265731569 + ... + 13265731599.

Almost surely, 2^411237679104 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 411237679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783204799104).

411237679104 is an abundant number, since it is smaller than the sum of its proper divisors (1155171919104).

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

411237679104 is an frugal number, since it uses more digits than its factorization.

411237679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 411237679104 in words is "four hundred eleven billion, two hundred thirty-seven million, six hundred seventy-nine thousand, one hundred four".