410142622208 has 270 divisors, whose sum is σ = 942098231151. Its totient is φ = 178240972800.

The previous prime is 410142622207. The next prime is 410142622249. The reversal of 410142622208 is 802226241014.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 205071311104 + 205071311104 = 452848^2 + 452848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=452848.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (410142622207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4941477335 + ... + 4941477417.

Almost surely, 2^410142622208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410142622208

410142622208 is an abundant number, since it is smaller than the sum of its proper divisors (531955608943).

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

410142622208 is an frugal number, since it uses more digits than its factorization.

410142622208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Multiplying 410142622208 by its sum of digits (32), we get a square (13124563910656 = 3622784²).

410142622208 divided by its sum of digits (32) gives a square (12816956944 = 113212²).

The spelling of 410142622208 in words is "four hundred ten billion, one hundred forty-two million, six hundred twenty-two thousand, two hundred eight".