1481214638880 has 240 divisors, whose sum is σ = 5230611401400. Its totient is φ = 394751950848.

The previous prime is 1481214638861. The next prime is 1481214638903. The reversal of 1481214638880 is 888364121841.

1481214638880 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 21 + 463 + 88 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1072939645584 + 408274993296 = 1035828^2 + 638964^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21959446 + ... + 22026794.

Almost surely, 2^{1481214638880} is an apocalyptic number.

1481214638880 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 1481214638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615305700700).

1481214638880 is an abundant number, since it is smaller than the sum of its proper divisors (3749396762520).

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

1481214638880 is a wasteful number, since it uses less digits than its factorization.

1481214638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69073 (or 69056 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 1481214638880 in words is "one trillion, four hundred eighty-one billion, two hundred fourteen million, six hundred thirty-eight thousand, eight hundred eighty".