1481337486720 has 2304 divisors, whose sum is σ = 7004093241600. Its totient is φ = 295719911424.

The previous prime is 1481337486697. The next prime is 1481337486721. The reversal of 1481337486720 is 276847331841.

1481337486720 is a `hidden beast` number, since 1 + 4 + 8 + 133 + 7 + 486 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481337486721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1882258167 + ... + 1882258953.

It is an arithmetic number, because the mean of its divisors is an integer number (3039971025).

Almost surely, 2^{1481337486720} is an apocalyptic number.

1481337486720 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 1481337486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502046620800).

1481337486720 is an abundant number, since it is smaller than the sum of its proper divisors (5522755754880).

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

1481337486720 is a wasteful number, since it uses less digits than its factorization.

1481337486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1481337486720 in words is "one trillion, four hundred eighty-one billion, three hundred thirty-seven million, four hundred eighty-six thousand, seven hundred twenty".