1410410400 has 288 divisors, whose sum is σ = 5390904960. Its totient is φ = 313528320.

The previous prime is 1410410383. The next prime is 1410410483. The reversal of 1410410400 is 40140141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1410410400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620466 + ... + 622734.

It is an arithmetic number, because the mean of its divisors is an integer number (18718420).

Almost surely, 2^1410410400 is an apocalyptic number.

1410410400 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 1410410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695452480).

1410410400 is an abundant number, since it is smaller than the sum of its proper divisors (3980494560).

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

1410410400 is a wasteful number, since it uses less digits than its factorization.

1410410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1410410400 is about 37555.4310320092. The cubic root of 1410410400 is about 1121.4549543374.

Adding to 1410410400 its reverse (40140141), we get a palindrome (1450550541).

The spelling of 1410410400 in words is "one billion, four hundred ten million, four hundred ten thousand, four hundred".