1480480727040 has 1008 divisors, whose sum is σ = 6098178295872. Its totient is φ = 337965613056.

The previous prime is 1480480726867. The next prime is 1480480727057. The reversal of 1480480727040 is 407270840841.

1480480727040 is a `hidden beast` number, since 148 + 0 + 480 + 7 + 27 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1881169527 + ... + 1881170313.

Almost surely, 2^{1480480727040} is an apocalyptic number.

1480480727040 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 1480480727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049089147936).

1480480727040 is an abundant number, since it is smaller than the sum of its proper divisors (4617697568832).

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

1480480727040 is an frugal number, since it uses more digits than its factorization.

1480480727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 1480480727040 in words is "one trillion, four hundred eighty billion, four hundred eighty million, seven hundred twenty-seven thousand, forty".