406378494720 has 1152 divisors, whose sum is σ = 1634765690880. Its totient is φ = 94728683520.

The previous prime is 406378494673. The next prime is 406378494733. The reversal of 406378494720 is 27494873604.

406378494720 is a `hidden beast` number, since 4 + 0 + 63 + 78 + 49 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2349008554 + ... + 2349008726.

It is an arithmetic number, because the mean of its divisors is an integer number (1419067440).

Almost surely, 2^406378494720 is an apocalyptic number.

406378494720 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 406378494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817382845440).

406378494720 is an abundant number, since it is smaller than the sum of its proper divisors (1228387196160).

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

406378494720 is a wasteful number, since it uses less digits than its factorization.

406378494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 406378494720 in words is "four hundred six billion, three hundred seventy-eight million, four hundred ninety-four thousand, seven hundred twenty".