1821075540480 has 800 divisors, whose sum is σ = 7549138967040. Its totient is φ = 410951024640.

The previous prime is 1821075540469. The next prime is 1821075540481. The reversal of 1821075540480 is 840455701281.

1821075540480 is a `hidden beast` number, since 1 + 8 + 2 + 10 + 7 + 554 + 0 + 4 + 80 = 666.

It is a super-2 number, since 2×1821075540480² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1821075540481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114662140 + ... + 114678020.

Almost surely, 2^{1821075540480} is an apocalyptic number.

1821075540480 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 1821075540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774569483520).

1821075540480 is an abundant number, since it is smaller than the sum of its proper divisors (5728063426560).

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

1821075540480 is an equidigital number, since it uses as much as digits as its factorization.

1821075540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 1821075540480 in words is "one trillion, eight hundred twenty-one billion, seventy-five million, five hundred forty thousand, four hundred eighty".