406010075352 has 128 divisors (see below), whose sum is σ = 1169115171840. Its totient is φ = 115096803840.

The previous prime is 406010075311. The next prime is 406010075363. The reversal of 406010075352 is 253570010604.

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, 15614202 + ... + 15640182.

It is an arithmetic number, because the mean of its divisors is an integer number (9133712280).

Almost surely, 2^406010075352 is an apocalyptic number.

406010075352 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 406010075352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584557585920).

406010075352 is an abundant number, since it is smaller than the sum of its proper divisors (763105096488).

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

406010075352 is a wasteful number, since it uses less digits than its factorization.

406010075352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26721 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 406010075352 its reverse (253570010604), we get a palindrome (659580085956).

The spelling of 406010075352 in words is "four hundred six billion, ten million, seventy-five thousand, three hundred fifty-two".