13542203402400 has 144 divisors (see below), whose sum is σ = 44089872692544. Its totient is φ = 3610434938880.

The previous prime is 13542203402389. The next prime is 13542203402437. The reversal of 13542203402400 is 420430224531.

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 23 ways as a sum of consecutive naturals, for example, 9977332 + ... + 11253068.

It is an arithmetic number, because the mean of its divisors is an integer number (306179671476).

Almost surely, 2^{13542203402400} is an apocalyptic number.

13542203402400 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 13542203402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044936346272).

13542203402400 is an abundant number, since it is smaller than the sum of its proper divisors (30547669290144).

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

13542203402400 is a wasteful number, since it uses less digits than its factorization.

13542203402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280183 (or 1280170 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 13542203402400 its reverse (420430224531), we get a palindrome (13962633626931).

The spelling of 13542203402400 in words is "thirteen trillion, five hundred forty-two billion, two hundred three million, four hundred two thousand, four hundred".