411840748800 has 648 divisors, whose sum is σ = 1679014583064. Its totient is φ = 95409930240.

The previous prime is 411840748771. The next prime is 411840748801. The reversal of 411840748800 is 8847048114.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 53394269184 + 358446479616 = 231072^2 + 598704^2 .

It is a super-2 number, since 2×411840748800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411840748801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12713424 + ... + 12745776.

Almost surely, 2^411840748800 is an apocalyptic number.

411840748800 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 411840748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839507291532).

411840748800 is an abundant number, since it is smaller than the sum of its proper divisors (1267173834264).

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

411840748800 is a wasteful number, since it uses less digits than its factorization.

411840748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32415 (or 32393 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 411840748800 in words is "four hundred eleven billion, eight hundred forty million, seven hundred forty-eight thousand, eight hundred".