1407135342312 has 48 divisors (see below), whose sum is σ = 4355418918240. Its totient is φ = 402038669088.

The previous prime is 1407135342287. The next prime is 1407135342313. The reversal of 1407135342312 is 2132435317041.

1407135342312 is a `hidden beast` number, since 1 + 4 + 0 + 71 + 353 + 4 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1407135342313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395967098 + ... + 1395968105.

It is an arithmetic number, because the mean of its divisors is an integer number (90737894130).

Almost surely, 2^{1407135342312} is an apocalyptic number.

1407135342312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1407135342312 is an abundant number, since it is smaller than the sum of its proper divisors (2948283575928).

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

1407135342312 is a wasteful number, since it uses less digits than its factorization.

1407135342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791935222 (or 2791935215 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1407135342312 in words is "one trillion, four hundred seven billion, one hundred thirty-five million, three hundred forty-two thousand, three hundred twelve".