1407128020 has 24 divisors (see below), whose sum is σ = 2958568200. Its totient is φ = 562165632.

The previous prime is 1407127999. The next prime is 1407128027. The reversal of 1407128020 is 208217041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 422549136 + 984578884 = 20556^2 + 31378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407128027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25855 + ... + 59014.

It is an arithmetic number, because the mean of its divisors is an integer number (123273675).

Almost surely, 2^1407128020 is an apocalyptic number.

1407128020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407128020 is an abundant number, since it is smaller than the sum of its proper divisors (1551440180).

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

1407128020 is a wasteful number, since it uses less digits than its factorization.

1407128020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85707 (or 85705 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1407128020 is about 37511.7051065397. The cubic root of 1407128020 is about 1120.5843092683.

The spelling of 1407128020 in words is "one billion, four hundred seven million, one hundred twenty-eight thousand, twenty".