1413400100 has 144 divisors (see below), whose sum is σ = 3624768000. Its totient is φ = 478114560.

The previous prime is 1413400099. The next prime is 1413400103. The reversal of 1413400100 is 10043141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1413400103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3052469 + ... + 3052931.

It is an arithmetic number, because the mean of its divisors is an integer number (25172000).

Almost surely, 2^1413400100 is an apocalyptic number.

1413400100 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 1413400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812384000).

1413400100 is an abundant number, since it is smaller than the sum of its proper divisors (2211367900).

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

1413400100 is a wasteful number, since it uses less digits than its factorization.

1413400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

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

The square root of 1413400100 is about 37595.2137911197. The cubic root of 1413400100 is about 1122.2467918608.

Adding to 1413400100 its reverse (10043141), we get a palindrome (1423443241).

The spelling of 1413400100 in words is "one billion, four hundred thirteen million, four hundred thousand, one hundred".