1355147366400 has 780 divisors, whose sum is σ = 5284603852000. Its totient is φ = 342313205760.

The previous prime is 1355147366393. The next prime is 1355147366423. The reversal of 1355147366400 is 46637415531.

1355147366400 is a `hidden beast` number, since 1 + 3 + 5 + 514 + 73 + 6 + 64 + 0 + 0 = 666.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157589301 + ... + 157597899.

Almost surely, 2^{1355147366400} is an apocalyptic number.

1355147366400 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 1355147366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642301926000).

1355147366400 is an abundant number, since it is smaller than the sum of its proper divisors (3929456485600).

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

1355147366400 is an equidigital number, since it uses as much as digits as its factorization.

1355147366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1355147366400 in words is "one trillion, three hundred fifty-five billion, one hundred forty-seven million, three hundred sixty-six thousand, four hundred".