315553220400 has 240 divisors, whose sum is σ = 1104375172608. Its totient is φ = 76382592000.

The previous prime is 315553220233. The next prime is 315553220401. The reversal of 315553220400 is 4022355513.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (315553220401) 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, 8918745 + ... + 8954055.

Almost surely, 2^315553220400 is an apocalyptic number.

315553220400 is a gapful number since it is divisible by the number (30) 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 315553220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552187586304).

315553220400 is an abundant number, since it is smaller than the sum of its proper divisors (788821952208).

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

315553220400 is a wasteful number, since it uses less digits than its factorization.

315553220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 315553220400 its reverse (4022355513), we get a palindrome (319575575913).

The spelling of 315553220400 in words is "three hundred fifteen billion, five hundred fifty-three million, two hundred twenty thousand, four hundred".