5335114581400 has 96 divisors (see below), whose sum is σ = 12760529970240. Its totient is φ = 2073394549760.

The previous prime is 5335114581323. The next prime is 5335114581409. The reversal of 5335114581400 is 41854115335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335114581409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783607 + ... + 3359206.

It is an arithmetic number, because the mean of its divisors is an integer number (132922187190).

Almost surely, 2^{5335114581400} is an apocalyptic number.

5335114581400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5335114581400 is an abundant number, since it is smaller than the sum of its proper divisors (7425415388840).

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

5335114581400 is a wasteful number, since it uses less digits than its factorization.

5335114581400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143013 (or 4143004 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 5335114581400 its reverse (41854115335), we get a palindrome (5376968696735).

The spelling of 5335114581400 in words is "five trillion, three hundred thirty-five billion, one hundred fourteen million, five hundred eighty-one thousand, four hundred".