1483868262240 has 864 divisors, whose sum is σ = 6424148465280. Its totient is φ = 309101764608.

The previous prime is 1483868262203. The next prime is 1483868262251. The reversal of 1483868262240 is 422628683841.

1483868262240 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 8 + 6 + 8 + 2 + 622 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72454882 + ... + 72475358.

It is an arithmetic number, because the mean of its divisors is an integer number (7435357020).

Almost surely, 2^{1483868262240} is an apocalyptic number.

1483868262240 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 1483868262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212074232640).

1483868262240 is an abundant number, since it is smaller than the sum of its proper divisors (4940280203040).

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

1483868262240 is a wasteful number, since it uses less digits than its factorization.

1483868262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20604 (or 20586 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1483868262240 in words is "one trillion, four hundred eighty-three billion, eight hundred sixty-eight million, two hundred sixty-two thousand, two hundred forty".