5401015200 has 720 divisors, whose sum is σ = 23064148800. Its totient is φ = 1234517760.

The previous prime is 5401015153. The next prime is 5401015201. The reversal of 5401015200 is 25101045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5401015200 is a `hidden beast` number, since 5 + 40 + 101 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5401015201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 771573597 + ... + 771573603.

It is an arithmetic number, because the mean of its divisors is an integer number (32033540).

Almost surely, 2^5401015200 is an apocalyptic number.

5401015200 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 5401015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532074400).

5401015200 is an abundant number, since it is smaller than the sum of its proper divisors (17663133600).

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

5401015200 is an frugal number, since it uses more digits than its factorization.

5401015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5401015200 is about 73491.5995199451. The cubic root of 5401015200 is about 1754.5205791056.

Adding to 5401015200 its reverse (25101045), we get a palindrome (5426116245).

The spelling of 5401015200 in words is "five billion, four hundred one million, fifteen thousand, two hundred".