405047837376 has 672 divisors, whose sum is σ = 1488161420928. Its totient is φ = 102478970880.

The previous prime is 405047837347. The next prime is 405047837377. The reversal of 405047837376 is 673738740504.

405047837376 is a `hidden beast` number, since 4 + 0 + 504 + 78 + 37 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (405047837377) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 141574186 + ... + 141577046.

It is an arithmetic number, because the mean of its divisors is an integer number (2214525924).

Almost surely, 2^405047837376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405047837376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744080710464).

405047837376 is an abundant number, since it is smaller than the sum of its proper divisors (1083113583552).

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

405047837376 is a wasteful number, since it uses less digits than its factorization.

405047837376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 405047837376 in words is "four hundred five billion, forty-seven million, eight hundred thirty-seven thousand, three hundred seventy-six".