406781222400 has 2160 divisors, whose sum is σ = 1871298885456. Its totient is φ = 86951854080.

The previous prime is 406781222347. The next prime is 406781222413. The reversal of 406781222400 is 4222187604.

406781222400 is a `hidden beast` number, since 406 + 7 + 8 + 1 + 2 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 215 ways as a sum of consecutive naturals, for example, 2590963122 + ... + 2590963278.

Almost surely, 2^406781222400 is an apocalyptic number.

406781222400 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 406781222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935649442728).

406781222400 is an abundant number, since it is smaller than the sum of its proper divisors (1464517663056).

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

406781222400 is a wasteful number, since it uses less digits than its factorization.

406781222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 406781222400 in words is "four hundred six billion, seven hundred eighty-one million, two hundred twenty-two thousand, four hundred".