410400000000 has 864 divisors, whose sum is σ = 1599608556000. Its totient is φ = 103680000000.

The previous prime is 410399999959. The next prime is 410400000013. The reversal of 410400000000 is 4014.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21599999991 + ... + 21600000009.

Almost surely, 2^410400000000 is an apocalyptic number.

410400000000 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 410400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799804278000).

410400000000 is an abundant number, since it is smaller than the sum of its proper divisors (1189208556000).

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

410400000000 is an frugal number, since it uses more digits than its factorization.

410400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 410400000000 its reverse (4014), we get a palindrome (410400004014).

The spelling of 410400000000 in words is "four hundred ten billion, four hundred million", and thus it is an aban number.