4014003342400 has 42 divisors (see below), whose sum is σ = 9876956978330. Its totient is φ = 1605601336320.

The previous prime is 4014003342383. The next prime is 4014003342421. The reversal of 4014003342400 is 42433004104.

It can be written as a sum of positive squares in 3 ways, for example, as 100316625984 + 3913686716416 = 316728^2 + 1978304^2 .

It is a super-2 number, since 2×4014003342400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1254374445 + ... + 1254377644.

Almost surely, 2^{4014003342400} is an apocalyptic number.

4014003342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014003342400 is an abundant number, since it is smaller than the sum of its proper divisors (5862953635930).

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

4014003342400 is a wasteful number, since it uses less digits than its factorization.

4014003342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508752111 (or 2508752096 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4014003342400 its reverse (42433004104), we get a palindrome (4056436346504).

The spelling of 4014003342400 in words is "four trillion, fourteen billion, three million, three hundred forty-two thousand, four hundred".