1351824480000 has 540 divisors, whose sum is σ = 4903538527888. Its totient is φ = 358041600000.

The previous prime is 1351824479987. The next prime is 1351824480011. The reversal of 1351824480000 is 844281531.

1351824480000 is a `hidden beast` number, since 1 + 35 + 182 + 448 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217436892 + ... + 217443108.

Almost surely, 2^{1351824480000} is an apocalyptic number.

1351824480000 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 1351824480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451769263944).

1351824480000 is an abundant number, since it is smaller than the sum of its proper divisors (3551714047888).

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

1351824480000 is an equidigital number, since it uses as much as digits as its factorization.

1351824480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1351824480000 in words is "one trillion, three hundred fifty-one billion, eight hundred twenty-four million, four hundred eighty thousand".