411231200400 has 300 divisors, whose sum is σ = 1484949300912. Its totient is φ = 108987482880.

The previous prime is 411231200389. The next prime is 411231200441. The reversal of 411231200400 is 4002132114.

411231200400 is a `hidden beast` number, since 4 + 11 + 231 + 20 + 0 + 400 = 666.

411231200400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×411231200400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5242267 + ... + 5320133.

Almost surely, 2^411231200400 is an apocalyptic number.

411231200400 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 411231200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742474650456).

411231200400 is an abundant number, since it is smaller than the sum of its proper divisors (1073718100512).

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

411231200400 is a wasteful number, since it uses less digits than its factorization.

411231200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78060 (or 78040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 411231200400 its reverse (4002132114), we get a palindrome (415233332514).

The spelling of 411231200400 in words is "four hundred eleven billion, two hundred thirty-one million, two hundred thousand, four hundred".