1353438838800 has 240 divisors, whose sum is σ = 4878220512000. Its totient is φ = 356348229120.

The previous prime is 1353438838789. The next prime is 1353438838897. The reversal of 1353438838800 is 88388343531.

1353438838800 is a `hidden beast` number, since 1 + 3 + 53 + 438 + 83 + 8 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60046 + ... + 1646354.

It is an arithmetic number, because the mean of its divisors is an integer number (20325918800).

Almost surely, 2^{1353438838800} is an apocalyptic number.

1353438838800 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 1353438838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439110256000).

1353438838800 is an abundant number, since it is smaller than the sum of its proper divisors (3524781673200).

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

1353438838800 is a wasteful number, since it uses less digits than its factorization.

1353438838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586415 (or 1586398 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1353438838800 in words is "one trillion, three hundred fifty-three billion, four hundred thirty-eight million, eight hundred thirty-eight thousand, eight hundred".