406751829120 has 1536 divisors, whose sum is σ = 1839065679360. Its totient is φ = 83607552000.

The previous prime is 406751829037. The next prime is 406751829137. The reversal of 406751829120 is 21928157604.

406751829120 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 518 + 2 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 580244770 + ... + 580245470.

It is an arithmetic number, because the mean of its divisors is an integer number (1197308385).

Almost surely, 2^406751829120 is an apocalyptic number.

406751829120 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 406751829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919532839680).

406751829120 is an abundant number, since it is smaller than the sum of its proper divisors (1432313850240).

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

406751829120 is a wasteful number, since it uses less digits than its factorization.

406751829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 406751829120 in words is "four hundred six billion, seven hundred fifty-one million, eight hundred twenty-nine thousand, one hundred twenty".