411341156640 has 288 divisors, whose sum is σ = 1478478718080. Its totient is φ = 103854624768.

The previous prime is 411341156579. The next prime is 411341156717. The reversal of 411341156640 is 46651143114.

411341156640 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 4 + 1 + 1 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 411341156595 and 411341156604.

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, 58902589 + ... + 58909571.

It is an arithmetic number, because the mean of its divisors is an integer number (5133606660).

Almost surely, 2^411341156640 is an apocalyptic number.

411341156640 is a gapful number since it is divisible by the number (40) 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 411341156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739239359040).

411341156640 is an abundant number, since it is smaller than the sum of its proper divisors (1067137561440).

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

411341156640 is a wasteful number, since it uses less digits than its factorization.

411341156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 411341156640 its reverse (46651143114), we get a palindrome (457992299754).

The spelling of 411341156640 in words is "four hundred eleven billion, three hundred forty-one million, one hundred fifty-six thousand, six hundred forty".