5335402400 has 216 divisors, whose sum is σ = 14159468736. Its totient is φ = 1961881600.

The previous prime is 5335402399. The next prime is 5335402411. The reversal of 5335402400 is 42045335.

It is a self number, because there is not a number n which added to its sum of digits gives 5335402400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10866155 + ... + 10866645.

It is an arithmetic number, because the mean of its divisors is an integer number (65553096).

Almost surely, 2^5335402400 is an apocalyptic number.

5335402400 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 5335402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079734368).

5335402400 is an abundant number, since it is smaller than the sum of its proper divisors (8824066336).

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

5335402400 is a wasteful number, since it uses less digits than its factorization.

5335402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 5335402400 is about 73043.8388914493. The cubic root of 5335402400 is about 1747.3868372890.

Adding to 5335402400 its reverse (42045335), we get a palindrome (5377447735).

The spelling of 5335402400 in words is "five billion, three hundred thirty-five million, four hundred two thousand, four hundred".