406103542312050 has 288 divisors, whose sum is σ = 1199471119292160. Its totient is φ = 97687015920000.

The previous prime is 406103542312003. The next prime is 406103542312067. The reversal of 406103542312050 is 50213245301604.

406103542312050 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 0 + 354 + 231 + 20 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406103542311996 and 406103542312014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6932549661 + ... + 6932608239.

It is an arithmetic number, because the mean of its divisors is an integer number (4164830275320).

Almost surely, 2^{406103542312050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406103542312050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599735559646080).

406103542312050 is an abundant number, since it is smaller than the sum of its proper divisors (793367576980110).

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

406103542312050 is a wasteful number, since it uses less digits than its factorization.

406103542312050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69430 (or 69422 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 406103542312050 its reverse (50213245301604), we get a palindrome (456316787613654).

The spelling of 406103542312050 in words is "four hundred six trillion, one hundred three billion, five hundred forty-two million, three hundred twelve thousand, fifty".