405856542720 has 448 divisors, whose sum is σ = 1364986473984. Its totient is φ = 102770933760.

The previous prime is 405856542719. The next prime is 405856542737. The reversal of 405856542720 is 27245658504.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 405856542720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460676680 + ... + 460677560.

It is an arithmetic number, because the mean of its divisors is an integer number (3046844808).

Almost surely, 2^405856542720 is an apocalyptic number.

405856542720 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 405856542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682493236992).

405856542720 is an abundant number, since it is smaller than the sum of its proper divisors (959129931264).

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

405856542720 is a wasteful number, since it uses less digits than its factorization.

405856542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 405856542720 in words is "four hundred five billion, eight hundred fifty-six million, five hundred forty-two thousand, seven hundred twenty".