315432021140400 has 240 divisors, whose sum is σ = 1043116895356928. Its totient is φ = 81394917120000.

The previous prime is 315432021140381. The next prime is 315432021140417. The reversal of 315432021140400 is 4041120234513.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446307300 + ... + 447013500.

Almost surely, 2^{315432021140400} is an apocalyptic number.

315432021140400 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 315432021140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521558447678464).

315432021140400 is an abundant number, since it is smaller than the sum of its proper divisors (727684874216528).

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

315432021140400 is a wasteful number, since it uses less digits than its factorization.

315432021140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718260 (or 718249 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 315432021140400 its reverse (4041120234513), we get a palindrome (319473141374913).

The spelling of 315432021140400 in words is "three hundred fifteen trillion, four hundred thirty-two billion, twenty-one million, one hundred forty thousand, four hundred".