5355412220400 has 240 divisors, whose sum is σ = 18940213998720. Its totient is φ = 1282639539200.

The previous prime is 5355412220399. The next prime is 5355412220401. The reversal of 5355412220400 is 40222145535.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5355412220399) and next prime (5355412220401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355412220401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348455 + ... + 3539654.

It is an arithmetic number, because the mean of its divisors is an integer number (78917558328).

Almost surely, 2^{5355412220400} is an apocalyptic number.

5355412220400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5355412220400 is an abundant number, since it is smaller than the sum of its proper divisors (13584801778320).

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

5355412220400 is a wasteful number, since it uses less digits than its factorization.

5355412220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888224 (or 4888213 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 5355412220400 its reverse (40222145535), we get a palindrome (5395634365935).

The spelling of 5355412220400 in words is "five trillion, three hundred fifty-five billion, four hundred twelve million, two hundred twenty thousand, four hundred".