4004202242400 has 72 divisors (see below), whose sum is σ = 13033678306824. Its totient is φ = 1067787264000.

The previous prime is 4004202242363. The next prime is 4004202242419. The reversal of 4004202242400 is 42422024004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834206401 + ... + 834211200.

It is an arithmetic number, because the mean of its divisors is an integer number (181023309817).

Almost surely, 2^{4004202242400} is an apocalyptic number.

4004202242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004202242400 is an abundant number, since it is smaller than the sum of its proper divisors (9029476064424).

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

4004202242400 is a wasteful number, since it uses less digits than its factorization.

4004202242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668417624 (or 1668417611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4004202242400 its reverse (42422024004), we get a palindrome (4046624266404).

The spelling of 4004202242400 in words is "four trillion, four billion, two hundred two million, two hundred forty-two thousand, four hundred".