1353120254400 has 168 divisors, whose sum is σ = 4514606403840. Its totient is φ = 354716195840.

The previous prime is 1353120254363. The next prime is 1353120254417. The reversal of 1353120254400 is 44520213531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2105784 + ... + 2672183.

Almost surely, 2^{1353120254400} is an apocalyptic number.

1353120254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353120254400 is an abundant number, since it is smaller than the sum of its proper divisors (3161486149440).

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

1353120254400 is a wasteful number, since it uses less digits than its factorization.

1353120254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778051 (or 4778036 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1353120254400 its reverse (44520213531), we get a palindrome (1397640467931).

The spelling of 1353120254400 in words is "one trillion, three hundred fifty-three billion, one hundred twenty million, two hundred fifty-four thousand, four hundred".