1407113344 has 128 divisors (see below), whose sum is σ = 3485462400. Its totient is φ = 550969344.

The previous prime is 1407113327. The next prime is 1407113347. The reversal of 1407113344 is 4433117041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1407113347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245772 + ... + 1246900.

It is an arithmetic number, because the mean of its divisors is an integer number (27230175).

Almost surely, 2^1407113344 is an apocalyptic number.

1407113344 is a gapful number since it is divisible by the number (14) 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 1407113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742731200).

1407113344 is an abundant number, since it is smaller than the sum of its proper divisors (2078349056).

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

1407113344 is a wasteful number, since it uses less digits than its factorization.

1407113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1407113344 is about 37511.5094870894. The cubic root of 1407113344 is about 1120.5804134482.

The spelling of 1407113344 in words is "one billion, four hundred seven million, one hundred thirteen thousand, three hundred forty-four".