13041400 has 48 divisors (see below), whose sum is σ = 30567240. Its totient is φ = 5174400.

The previous prime is 13041383. The next prime is 13041401. The reversal of 13041400 is 414031.

It is a super-2 number, since 2×13041400² = 340156227920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39235 + ... + 39565.

Almost surely, 2^13041400 is an apocalyptic number.

13041400 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 13041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283620).

13041400 is an abundant number, since it is smaller than the sum of its proper divisors (17525840).

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

13041400 is a wasteful number, since it uses less digits than its factorization.

13041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13041400 is about 3611.2878589224. The cubic root of 13041400 is about 235.3828074971.

Adding to 13041400 its reverse (414031), we get a palindrome (13455431).

It can be divided in two parts, 1304 and 1400, that added together give a square (2704 = 52²).

The spelling of 13041400 in words is "thirteen million, forty-one thousand, four hundred".