404978365440 has 1408 divisors, whose sum is σ = 1657114951680. Its totient is φ = 93671424000.

The previous prime is 404978365439. The next prime is 404978365507. The reversal of 404978365440 is 44563879404.

404978365440 is a `hidden beast` number, since 4 + 0 + 4 + 97 + 8 + 3 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5703920605 + ... + 5703920675.

Almost surely, 2^404978365440 is an apocalyptic number.

404978365440 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 404978365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828557475840).

404978365440 is an abundant number, since it is smaller than the sum of its proper divisors (1252136586240).

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

404978365440 is a wasteful number, since it uses less digits than its factorization.

404978365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 404978365440 in words is "four hundred four billion, nine hundred seventy-eight million, three hundred sixty-five thousand, four hundred forty".