405373383373504 has 504 divisors, whose sum is σ = 1046533412550528. Its totient is φ = 155107615703040.

The previous prime is 405373383373499. The next prime is 405373383373601.

405373383373504 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34715536114 + ... + 34715547790.

It is an arithmetic number, because the mean of its divisors is an integer number (2076455183632).

Almost surely, 2^{405373383373504} 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 405373383373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523266706275264).

405373383373504 is an abundant number, since it is smaller than the sum of its proper divisors (641160029177024).

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

405373383373504 is a wasteful number, since it uses less digits than its factorization.

405373383373504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 58.

The spelling of 405373383373504 in words is "four hundred five trillion, three hundred seventy-three billion, three hundred eighty-three million, three hundred seventy-three thousand, five hundred four".