411667401600 has 1920 divisors, whose sum is σ = 1933456250880. Its totient is φ = 83906150400.

The previous prime is 411667401577. The next prime is 411667401611. The reversal of 411667401600 is 6104766114.

It is a happy number.

411667401600 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 6 + 7 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 731202919 + ... + 731203481.

It is an arithmetic number, because the mean of its divisors is an integer number (1007008464).

Almost surely, 2^411667401600 is an apocalyptic number.

411667401600 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 411667401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966728125440).

411667401600 is an abundant number, since it is smaller than the sum of its proper divisors (1521788849280).

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

411667401600 is a wasteful number, since it uses less digits than its factorization.

411667401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 411667401600 in words is "four hundred eleven billion, six hundred sixty-seven million, four hundred one thousand, six hundred".