1481223744 has 504 divisors, whose sum is σ = 5818071168. Its totient is φ = 354170880.

The previous prime is 1481223673. The next prime is 1481223811. The reversal of 1481223744 is 4473221841.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1481223699 and 1481223708.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035849 + ... + 4036215.

It is an arithmetic number, because the mean of its divisors is an integer number (11543792).

Almost surely, 2^1481223744 is an apocalyptic number.

1481223744 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 1481223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909035584).

1481223744 is an abundant number, since it is smaller than the sum of its proper divisors (4336847424).

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

1481223744 is a wasteful number, since it uses less digits than its factorization.

1481223744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 1481223744 is about 38486.6696922454. The cubic root of 1481223744 is about 1139.9178518830.

The spelling of 1481223744 in words is "one billion, four hundred eighty-one million, two hundred twenty-three thousand, seven hundred forty-four".