411314504425650 has 288 divisors, whose sum is σ = 1265050138180608. Its totient is φ = 93857128444800.

The previous prime is 411314504425567. The next prime is 411314504425651. The reversal of 411314504425650 is 56524405413114.

411314504425650 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 1 + 4 + 504 + 42 + 56 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 411314504425596 and 411314504425605.

It is not an unprimeable number, because it can be changed into a prime (411314504425651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5738889315 + ... + 5738960985.

It is an arithmetic number, because the mean of its divisors is an integer number (4392535202016).

Almost surely, 2^{411314504425650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411314504425650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632525069090304).

411314504425650 is an abundant number, since it is smaller than the sum of its proper divisors (853735633754958).

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

411314504425650 is a wasteful number, since it uses less digits than its factorization.

411314504425650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74726 (or 74718 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 411314504425650 its reverse (56524405413114), we get a palindrome (467838909838764).

The spelling of 411314504425650 in words is "four hundred eleven trillion, three hundred fourteen billion, five hundred four million, four hundred twenty-five thousand, six hundred fifty".