1407117012 has 96 divisors (see below), whose sum is σ = 3830421504. Its totient is φ = 393724800.

The previous prime is 1407116989. The next prime is 1407117077. The reversal of 1407117012 is 2107117041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593123 + ... + 1594005.

It is an arithmetic number, because the mean of its divisors is an integer number (39900224).

Almost surely, 2^1407117012 is an apocalyptic number.

1407117012 is a gapful number since it is divisible by the number (12) 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 1407117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915210752).

1407117012 is an abundant number, since it is smaller than the sum of its proper divisors (2423304492).

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

1407117012 is a wasteful number, since it uses less digits than its factorization.

1407117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 1407117012 is about 37511.5583787184. The cubic root of 1407117012 is about 1120.5813871403.

The spelling of 1407117012 in words is "one billion, four hundred seven million, one hundred seventeen thousand, twelve".