8411660384400 has 1920 divisors, whose sum is σ = 39737389977600. Its totient is φ = 1640201011200.

The previous prime is 8411660384341. The next prime is 8411660384429. The reversal of 8411660384400 is 44830661148.

8411660384400 is a `hidden beast` number, since 8 + 4 + 1 + 166 + 0 + 3 + 84 + 400 = 666.

It is a super-3 number, since 3×8411660384400³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 765595707 + ... + 765606693.

It is an arithmetic number, because the mean of its divisors is an integer number (20696557280).

Almost surely, 2^{8411660384400} is an apocalyptic number.

8411660384400 is a gapful number since it is divisible by the number (80) 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 8411660384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868694988800).

8411660384400 is an abundant number, since it is smaller than the sum of its proper divisors (31325729593200).

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

8411660384400 is a wasteful number, since it uses less digits than its factorization.

8411660384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 8411660384400 in words is "eight trillion, four hundred eleven billion, six hundred sixty million, three hundred eighty-four thousand, four hundred".