1480114944 has 504 divisors, whose sum is σ = 5576293632. Its totient is φ = 380712960.

The previous prime is 1480114939. The next prime is 1480114973. The reversal of 1480114944 is 4494110841.

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 junction number, because it is equal to n+sod(n) for n = 1480114899 and 1480114908.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14369997 + ... + 14370099.

Almost surely, 2^1480114944 is an apocalyptic number.

1480114944 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 1480114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788146816).

1480114944 is an abundant number, since it is smaller than the sum of its proper divisors (4096178688).

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

1480114944 is an equidigital number, since it uses as much as digits as its factorization.

1480114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1480114944 is about 38472.2620078414. The cubic root of 1480114944 is about 1139.6333446901.

The spelling of 1480114944 in words is "one billion, four hundred eighty million, one hundred fourteen thousand, nine hundred forty-four".