405726552000 has 1008 divisors, whose sum is σ = 1823459391936. Its totient is φ = 84294144000.

The previous prime is 405726551999. The next prime is 405726552031. The reversal of 405726552000 is 255627504.

405726552000 is a `hidden beast` number, since 4 + 0 + 5 + 72 + 65 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×405726552000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60980674 + ... + 60987326.

It is an arithmetic number, because the mean of its divisors is an integer number (1808987492).

Almost surely, 2^405726552000 is an apocalyptic number.

405726552000 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 405726552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911729695968).

405726552000 is an abundant number, since it is smaller than the sum of its proper divisors (1417732839936).

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

405726552000 is a wasteful number, since it uses less digits than its factorization.

405726552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 405726552000 in words is "four hundred five billion, seven hundred twenty-six million, five hundred fifty-two thousand".