4020342042400 has 144 divisors (see below), whose sum is σ = 10461999139200. Its totient is φ = 1504212802560.

The previous prime is 4020342042397. The next prime is 4020342042433. The reversal of 4020342042400 is 42402430204.

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 23 ways as a sum of consecutive naturals, for example, 473227 + ... + 2874826.

It is an arithmetic number, because the mean of its divisors is an integer number (72652771800).

Almost surely, 2^{4020342042400} is an apocalyptic number.

4020342042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020342042400 is an abundant number, since it is smaller than the sum of its proper divisors (6441657096800).

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

4020342042400 is a wasteful number, since it uses less digits than its factorization.

4020342042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348171 (or 3348158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 4020342042400 its reverse (42402430204), we get a palindrome (4062744472604).

The spelling of 4020342042400 in words is "four trillion, twenty billion, three hundred forty-two million, forty-two thousand, four hundred".