13541441400 has 72 divisors (see below), whose sum is σ = 45476680080. Its totient is φ = 3611050560.

The previous prime is 13541441399. The next prime is 13541441401. The reversal of 13541441400 is 414414531.

It is an interprime number because it is at equal distance from previous prime (13541441399) and next prime (13541441401).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541441401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3759712 + ... + 3763311.

Almost surely, 2^13541441400 is an apocalyptic number.

13541441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541441400 is an abundant number, since it is smaller than the sum of its proper divisors (31935238680).

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

13541441400 is a wasteful number, since it uses less digits than its factorization.

13541441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523045 (or 7523033 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13541441400 its reverse (414414531), we get a palindrome (13955855931).

The spelling of 13541441400 in words is "thirteen billion, five hundred forty-one million, four hundred forty-one thousand, four hundred".