411012064944000 has 5120 divisors, whose sum is σ = 1745540758241280. Its totient is φ = 95187197952000.

The previous prime is 411012064943983. The next prime is 411012064944007. The reversal of 411012064944000 is 449460210114.

It is a happy number.

411012064944000 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 1 + 2 + 0 + 649 + 4 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411012064944007) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3236315471937 + ... + 3236315472063.

It is an arithmetic number, because the mean of its divisors is an integer number (340925929344).

Almost surely, 2^{411012064944000} is an apocalyptic number.

411012064944000 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 411012064944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872770379120640).

411012064944000 is an abundant number, since it is smaller than the sum of its proper divisors (1334528693297280).

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

411012064944000 is a wasteful number, since it uses less digits than its factorization.

411012064944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 411012064944000 in words is "four hundred eleven trillion, twelve billion, sixty-four million, nine hundred forty-four thousand".