16410240000 has 1320 divisors, whose sum is σ = 75817080768. Its totient is φ = 3317760000.

The previous prime is 16410239983. The next prime is 16410240001. The reversal of 16410240000 is 4201461.

16410240000 is a `hidden beast` number, since 1 + 641 + 0 + 24 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16410240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 443519982 + ... + 443520018.

Almost surely, 2^16410240000 is an apocalyptic number.

16410240000 is a gapful number since it is divisible by the number (10) 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 16410240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37908540384).

16410240000 is an abundant number, since it is smaller than the sum of its proper divisors (59406840768).

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

16410240000 is a wasteful number, since it uses less digits than its factorization.

16410240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 16410240000 its reverse (4201461), we get a palindrome (16414441461).

The spelling of 16410240000 in words is "sixteen billion, four hundred ten million, two hundred forty thousand".