406738888078572 has 144 divisors (see below), whose sum is σ = 1202575206792960. Its totient is φ = 113487226602624.

The previous prime is 406738888078553. The next prime is 406738888078597. The reversal of 406738888078572 is 275870888837604.

406738888078572 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 38 + 8 + 8 + 8 + 0 + 7 + 8 + 572 = 666.

It is a super-3 number, since 3×406738888078572³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406738888078491 and 406738888078500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54269179 + ... + 61307597.

It is an arithmetic number, because the mean of its divisors is an integer number (8351216713840).

Almost surely, 2^{406738888078572} is an apocalyptic number.

406738888078572 is a gapful number since it is divisible by the number (42) 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 406738888078572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601287603396480).

406738888078572 is an abundant number, since it is smaller than the sum of its proper divisors (795836318714388).

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

406738888078572 is a wasteful number, since it uses less digits than its factorization.

406738888078572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043812 (or 7043807 counting only the distinct ones).

The product of its (nonzero) digits is 8092385280, while the sum is 81.

The spelling of 406738888078572 in words is "four hundred six trillion, seven hundred thirty-eight billion, eight hundred eighty-eight million, seventy-eight thousand, five hundred seventy-two".