1407012128 has 48 divisors (see below), whose sum is σ = 2870816256. Its totient is φ = 678097920.

The previous prime is 1407012109. The next prime is 1407012133. The reversal of 1407012128 is 8212107041.

1407012128 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1407012097 and 1407012106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258200 + ... + 263592.

It is an arithmetic number, because the mean of its divisors is an integer number (59808672).

Almost surely, 2^1407012128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435408128).

1407012128 is an abundant number, since it is smaller than the sum of its proper divisors (1463804128).

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

1407012128 is a wasteful number, since it uses less digits than its factorization.

1407012128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1407012128 is about 37510.1603302359. The cubic root of 1407012128 is about 1120.5535444005.

Adding to 1407012128 its reverse (8212107041), we get a palindrome (9619119169).

The spelling of 1407012128 in words is "one billion, four hundred seven million, twelve thousand, one hundred twenty-eight".