1407806418432 has 160 divisors (see below), whose sum is σ = 3929259654144. Its totient is φ = 447352012800.

The previous prime is 1407806418383. The next prime is 1407806418461. The reversal of 1407806418432 is 2348146087041.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2969632 + ... + 3410912.

Almost surely, 2^{1407806418432} is an apocalyptic number.

1407806418432 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 1407806418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964629827072).

1407806418432 is an abundant number, since it is smaller than the sum of its proper divisors (2521453235712).

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

1407806418432 is an equidigital number, since it uses as much as digits as its factorization.

1407806418432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441400 (or 441384 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 1407806418432 in words is "one trillion, four hundred seven billion, eight hundred six million, four hundred eighteen thousand, four hundred thirty-two".