411337953728640 has 384 divisors, whose sum is σ = 1437465816586800. Its totient is φ = 108376139759616.

The previous prime is 411337953728633. The next prime is 411337953728677. The reversal of 411337953728640 is 46827359733114.

411337953728640 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 3 + 79 + 537 + 28 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 310358125256256 + 100979828472384 = 17616984^2 + 10048872^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330700206 + ... + 331941714.

It is a 1-persistent number, because it is pandigital, but 2⋅411337953728640 = 822675907457280 is not.

Almost surely, 2^{411337953728640} is an apocalyptic number.

411337953728640 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 411337953728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718732908293400).

411337953728640 is an abundant number, since it is smaller than the sum of its proper divisors (1026127862858160).

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

411337953728640 is a wasteful number, since it uses less digits than its factorization.

411337953728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242224 (or 1242209 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 411337953728640 in words is "four hundred eleven trillion, three hundred thirty-seven billion, nine hundred fifty-three million, seven hundred twenty-eight thousand, six hundred forty".