4330042400000 has 108 divisors (see below), whose sum is σ = 10803273757164. Its totient is φ = 1732016640000.

The previous prime is 4330042399993. The next prime is 4330042400011. The reversal of 4330042400000 is 42400334.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3324466649344 + 1005575750656 = 1823312^2 + 1002784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906277 + ... + 3506276.

Almost surely, 2^{4330042400000} is an apocalyptic number.

4330042400000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4330042400000 is an abundant number, since it is smaller than the sum of its proper divisors (6473231357164).

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

4330042400000 is an frugal number, since it uses more digits than its factorization.

4330042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412594 (or 5412560 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 4330042400000 its reverse (42400334), we get a palindrome (4330084800334).

The spelling of 4330042400000 in words is "four trillion, three hundred thirty billion, forty-two million, four hundred thousand".