411025542420000 has 240 divisors, whose sum is σ = 1351766284323840. Its totient is φ = 109320625536000.

The previous prime is 411025542419957. The next prime is 411025542420007. The reversal of 411025542420000 is 24245520114.

It is a tau number, because it is divible by the number of its divisors (240).

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 411025542420000.

It is not an unprimeable number, because it can be changed into a prime (411025542420007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14036886 + ... + 31923114.

It is an arithmetic number, because the mean of its divisors is an integer number (5632359518016).

Almost surely, 2^{411025542420000} is an apocalyptic number.

411025542420000 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 411025542420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675883142161920).

411025542420000 is an abundant number, since it is smaller than the sum of its proper divisors (940740741903840).

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

411025542420000 is a wasteful number, since it uses less digits than its factorization.

411025542420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17886645 (or 17886622 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 411025542420000 its reverse (24245520114), we get a palindrome (411049787940114).

The spelling of 411025542420000 in words is "four hundred eleven trillion, twenty-five billion, five hundred forty-two million, four hundred twenty thousand".