1481386631424 has 144 divisors (see below), whose sum is σ = 4509039144960. Its totient is φ = 422956984320.

The previous prime is 1481386631371. The next prime is 1481386631437. The reversal of 1481386631424 is 4241366831841.

It is a nude number because it is divisible by every one of its digits.

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, 7640319 + ... + 7831809.

It is an arithmetic number, because the mean of its divisors is an integer number (31312771840).

Almost surely, 2^{1481386631424} is an apocalyptic number.

1481386631424 is a gapful number since it is divisible by the number (14) 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 1481386631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254519572480).

1481386631424 is an abundant number, since it is smaller than the sum of its proper divisors (3027652513536).

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

1481386631424 is a wasteful number, since it uses less digits than its factorization.

1481386631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192956 (or 192942 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 1481386631424 in words is "one trillion, four hundred eighty-one billion, three hundred eighty-six million, six hundred thirty-one thousand, four hundred twenty-four".