1821137460480 has 648 divisors, whose sum is σ = 6928128560808. Its totient is φ = 438903668736.

The previous prime is 1821137460451. The next prime is 1821137460517. The reversal of 1821137460480 is 840647311281.

1821137460480 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 1 + 37 + 4 + 604 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103611884544 + 1717525575936 = 321888^2 + 1310544^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3801956881 + ... + 3801957359.

It is an arithmetic number, because the mean of its divisors is an integer number (10691556421).

Almost surely, 2^{1821137460480} is an apocalyptic number.

1821137460480 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 1821137460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464064280404).

1821137460480 is an abundant number, since it is smaller than the sum of its proper divisors (5106991100328).

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

1821137460480 is an equidigital number, since it uses as much as digits as its factorization.

1821137460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1821137460480 in words is "one trillion, eight hundred twenty-one billion, one hundred thirty-seven million, four hundred sixty thousand, four hundred eighty".