13434554540000 has 240 divisors, whose sum is σ = 36276954658560. Its totient is φ = 4855308480000.

The previous prime is 13434554539999. The next prime is 13434554540009. The reversal of 13434554540000 is 4545543431.

It is a super-2 number, since 2×13434554540000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434554540009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35672681 + ... + 36047319.

It is an arithmetic number, because the mean of its divisors is an integer number (151153977744).

Almost surely, 2^{13434554540000} is an apocalyptic number.

13434554540000 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 13434554540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138477329280).

13434554540000 is an abundant number, since it is smaller than the sum of its proper divisors (22842400118560).

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

13434554540000 is a wasteful number, since it uses less digits than its factorization.

13434554540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374843 (or 374820 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 13434554540000 in words is "thirteen trillion, four hundred thirty-four billion, five hundred fifty-four million, five hundred forty thousand".