411542123520000 has 560 divisors, whose sum is σ = 1495947230677152. Its totient is φ = 99767746560000.

The previous prime is 411542123519983. The next prime is 411542123520001. The reversal of 411542123520000 is 25321245114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 411542123520000.

It is not an unprimeable number, because it can be changed into a prime (411542123520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167742132 + ... + 170177868.

Almost surely, 2^{411542123520000} is an apocalyptic number.

411542123520000 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 411542123520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747973615338576).

411542123520000 is an abundant number, since it is smaller than the sum of its proper divisors (1084405107157152).

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

411542123520000 is an equidigital number, since it uses as much as digits as its factorization.

411542123520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435797 (or 2435758 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 411542123520000 its reverse (25321245114), we get a palindrome (411567444765114).

The spelling of 411542123520000 in words is "four hundred eleven trillion, five hundred forty-two billion, one hundred twenty-three million, five hundred twenty thousand".