5401641200 has 90 divisors (see below), whose sum is σ = 13786021656. Its totient is φ = 2033515520.

The previous prime is 5401641197. The next prime is 5401641247. The reversal of 5401641200 is 21461045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92237 + ... + 138963.

Almost surely, 2^5401641200 is an apocalyptic number.

5401641200 is a gapful number since it is divisible by the number (50) 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 5401641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893010828).

5401641200 is an abundant number, since it is smaller than the sum of its proper divisors (8384380456).

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

5401641200 is a wasteful number, since it uses less digits than its factorization.

5401641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46779 (or 46751 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5401641200 is about 73495.8583867146. The cubic root of 5401641200 is about 1754.5883618842.

The spelling of 5401641200 in words is "five billion, four hundred one million, six hundred forty-one thousand, two hundred".