1407484008448 has 192 divisors, whose sum is σ = 3266522138880. Its totient is φ = 593844535296.

The previous prime is 1407484008431. The next prime is 1407484008521. The reversal of 1407484008448 is 8448004847041.

It is a super-2 number, since 2×1407484008448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1407484008395 and 1407484008404.

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, 365293690 + ... + 365297542.

It is an arithmetic number, because the mean of its divisors is an integer number (17013136140).

Almost surely, 2^{1407484008448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407484008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633261069440).

1407484008448 is an abundant number, since it is smaller than the sum of its proper divisors (1859038130432).

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

1407484008448 is an equidigital number, since it uses as much as digits as its factorization.

1407484008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 52.

The spelling of 1407484008448 in words is "one trillion, four hundred seven billion, four hundred eighty-four million, eight thousand, four hundred forty-eight".