1407473365456 has 80 divisors (see below), whose sum is σ = 2829587287680. Its totient is φ = 677655590400.

The previous prime is 1407473365421. The next prime is 1407473365549. The reversal of 1407473365456 is 6545633747041.

It is a junction number, because it is equal to n+sod(n) for n = 1407473365397 and 1407473365406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254651365 + ... + 254656891.

It is an arithmetic number, because the mean of its divisors is an integer number (35369841096).

Almost surely, 2^{1407473365456} is an apocalyptic number.

1407473365456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1407473365456 is an abundant number, since it is smaller than the sum of its proper divisors (1422113922224).

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

1407473365456 is a wasteful number, since it uses less digits than its factorization.

1407473365456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 1407473365456 in words is "one trillion, four hundred seven billion, four hundred seventy-three million, three hundred sixty-five thousand, four hundred fifty-six".