406365552069120 has 800 divisors, whose sum is σ = 1664144942156928. Its totient is φ = 92841830940672.

The previous prime is 406365552069091. The next prime is 406365552069163. The reversal of 406365552069120 is 21960255563604.

406365552069120 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 6 + 5 + 5 + 520 + 6 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3290534094 + ... + 3290657586.

Almost surely, 2^{406365552069120} is an apocalyptic number.

406365552069120 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 406365552069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832072471078464).

406365552069120 is an abundant number, since it is smaller than the sum of its proper divisors (1257779390087808).

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

406365552069120 is a wasteful number, since it uses less digits than its factorization.

406365552069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125802 (or 125777 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 406365552069120 in words is "four hundred six trillion, three hundred sixty-five billion, five hundred fifty-two million, sixty-nine thousand, one hundred twenty".