4314135025440 has 288 divisors, whose sum is σ = 15270367432320. Its totient is φ = 1150200705024.

The previous prime is 4314135025429. The next prime is 4314135025451. The reversal of 4314135025440 is 445205314134.

4314135025440 is a `hidden beast` number, since 4 + 3 + 14 + 1 + 350 + 254 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4314135025429) and next prime (4314135025451).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4314135025440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4314135025395 and 4314135025404.

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, 277089976 + ... + 277105544.

It is an arithmetic number, because the mean of its divisors is an integer number (53022109140).

Almost surely, 2^{4314135025440} is an apocalyptic number.

4314135025440 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 4314135025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635183716160).

4314135025440 is an abundant number, since it is smaller than the sum of its proper divisors (10956232406880).

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

4314135025440 is a wasteful number, since it uses less digits than its factorization.

4314135025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726 (or 22706 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4314135025440 in words is "four trillion, three hundred fourteen billion, one hundred thirty-five million, twenty-five thousand, four hundred forty".