42003316304400 has 120 divisors (see below), whose sum is σ = 146782498113504. Its totient is φ = 10182622131200.

The previous prime is 42003316304381. The next prime is 42003316304407. The reversal of 42003316304400 is 440361330024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42003316304407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591021509 + ... + 1591047908.

Almost surely, 2^{42003316304400} is an apocalyptic number.

42003316304400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42003316304400 is an abundant number, since it is smaller than the sum of its proper divisors (104779181809104).

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

42003316304400 is a wasteful number, since it uses less digits than its factorization.

42003316304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182069449 (or 3182069438 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42003316304400 its reverse (440361330024), we get a palindrome (42443677634424).

The spelling of 42003316304400 in words is "forty-two trillion, three billion, three hundred sixteen million, three hundred four thousand, four hundred".