4315140422400 has 432 divisors, whose sum is σ = 14753268230400. Its totient is φ = 1109415444480.

The previous prime is 4315140422393. The next prime is 4315140422449. The reversal of 4315140422400 is 42240415134.

4315140422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411469957 + ... + 411480443.

Almost surely, 2^{4315140422400} is an apocalyptic number.

4315140422400 is a gapful number since it is divisible by the number (40) 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 4315140422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376634115200).

4315140422400 is an abundant number, since it is smaller than the sum of its proper divisors (10438127808000).

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

4315140422400 is a wasteful number, since it uses less digits than its factorization.

4315140422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4315140422400 its reverse (42240415134), we get a palindrome (4357380837534).

The spelling of 4315140422400 in words is "four trillion, three hundred fifteen billion, one hundred forty million, four hundred twenty-two thousand, four hundred".