410042400000000 has 432 divisors, whose sum is σ = 1366481605048560. Its totient is φ = 109344000000000.

The previous prime is 410042399999993. The next prime is 410042400000127. The reversal of 410042400000000 is 4240014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2399914575 + ... + 2400085425.

Almost surely, 2^{410042400000000} is an apocalyptic number.

410042400000000 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 410042400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683240802524280).

410042400000000 is an abundant number, since it is smaller than the sum of its proper divisors (956439205048560).

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

410042400000000 is an frugal number, since it uses more digits than its factorization.

410042400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170916 (or 170861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 410042400000000 its reverse (4240014), we get a palindrome (410042404240014).

The spelling of 410042400000000 in words is "four hundred ten trillion, forty-two billion, four hundred million", and thus it is an aban number.