1413034400 has 72 divisors (see below), whose sum is σ = 3455989740. Its totient is φ = 564162560.

The previous prime is 1413034397. The next prime is 1413034423. The reversal of 1413034400 is 44303141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 985206544 + 427827856 = 31388^2 + 20684^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540296 + ... + 542904.

Almost surely, 2^1413034400 is an apocalyptic number.

1413034400 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 1413034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727994870).

1413034400 is an abundant number, since it is smaller than the sum of its proper divisors (2042955340).

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

1413034400 is a wasteful number, since it uses less digits than its factorization.

1413034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1413034400 is about 37590.3498254539. The cubic root of 1413034400 is about 1122.1499942985.

Adding to 1413034400 its reverse (44303141), we get a palindrome (1457337541).

The spelling of 1413034400 in words is "one billion, four hundred thirteen million, thirty-four thousand, four hundred".