1353542304000 has 576 divisors, whose sum is σ = 4637313128448. Its totient is φ = 349719552000.

The previous prime is 1353542303999. The next prime is 1353542304019. The reversal of 1353542304000 is 4032453531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540766749 + ... + 540769251.

It is an arithmetic number, because the mean of its divisors is an integer number (8050890848).

Almost surely, 2^{1353542304000} is an apocalyptic number.

1353542304000 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 1353542304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318656564224).

1353542304000 is an abundant number, since it is smaller than the sum of its proper divisors (3283770824448).

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

1353542304000 is a wasteful number, since it uses less digits than its factorization.

1353542304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 1353542304000 its reverse (4032453531), we get a palindrome (1357574757531).

The spelling of 1353542304000 in words is "one trillion, three hundred fifty-three billion, five hundred forty-two million, three hundred four thousand".