1413010400 has 72 divisors (see below), whose sum is σ = 3456888120. Its totient is φ = 563996160.

The previous prime is 1413010387. The next prime is 1413010439. The reversal of 1413010400 is 40103141.

It is a happy number.

It is a congruent number.

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, 435986 + ... + 439214.

It is an arithmetic number, because the mean of its divisors is an integer number (48012335).

Almost surely, 2^1413010400 is an apocalyptic number.

1413010400 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 1413010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728444060).

1413010400 is an abundant number, since it is smaller than the sum of its proper divisors (2043877720).

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

1413010400 is a wasteful number, since it uses less digits than its factorization.

1413010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1413010400 is about 37590.0305932304. The cubic root of 1413010400 is about 1122.1436411264.

Adding to 1413010400 its reverse (40103141), we get a palindrome (1453113541).

The spelling of 1413010400 in words is "one billion, four hundred thirteen million, ten thousand, four hundred".