1478333070240 has 576 divisors, whose sum is σ = 5275800262656. Its totient is φ = 347147513856.

The previous prime is 1478333070233. The next prime is 1478333070271. The reversal of 1478333070240 is 420703338741.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1478333070192 and 1478333070201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 908624307 + ... + 908625933.

It is an arithmetic number, because the mean of its divisors is an integer number (9159375456).

Almost surely, 2^{1478333070240} is an apocalyptic number.

1478333070240 is a gapful number since it is divisible by the number (10) 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 1478333070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637900131328).

1478333070240 is an abundant number, since it is smaller than the sum of its proper divisors (3797467192416).

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

1478333070240 is a wasteful number, since it uses less digits than its factorization.

1478333070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 1478333070240 in words is "one trillion, four hundred seventy-eight billion, three hundred thirty-three million, seventy thousand, two hundred forty".