411511113052000 has 768 divisors, whose sum is σ = 1158418793226240. Its totient is φ = 142506946560000.

The previous prime is 411511113051967. The next prime is 411511113052001. The reversal of 411511113052000 is 250311115114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411511113052001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28296156729 + ... + 28296171271.

It is an arithmetic number, because the mean of its divisors is an integer number (1508357803680).

Almost surely, 2^{411511113052000} is an apocalyptic number.

411511113052000 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 411511113052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579209396613120).

411511113052000 is an abundant number, since it is smaller than the sum of its proper divisors (746907680174240).

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

411511113052000 is a wasteful number, since it uses less digits than its factorization.

411511113052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15064 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

Adding to 411511113052000 its reverse (250311115114), we get a palindrome (411761424167114).

The spelling of 411511113052000 in words is "four hundred eleven trillion, five hundred eleven billion, one hundred thirteen million, fifty-two thousand".