405813400960 has 192 divisors, whose sum is σ = 1089058944960. Its totient is φ = 144427458560.

The previous prime is 405813400957. The next prime is 405813400961. The reversal of 405813400960 is 69004318504.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405813400961) 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 23 ways as a sum of consecutive naturals, for example, 3583932 + ... + 3695428.

It is an arithmetic number, because the mean of its divisors is an integer number (5672182005).

Almost surely, 2^405813400960 is an apocalyptic number.

405813400960 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 405813400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544529472480).

405813400960 is an abundant number, since it is smaller than the sum of its proper divisors (683245544000).

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

405813400960 is a wasteful number, since it uses less digits than its factorization.

405813400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111585 (or 111562 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 405813400960 in words is "four hundred five billion, eight hundred thirteen million, four hundred thousand, nine hundred sixty".