42204421310000 has 200 divisors, whose sum is σ = 105141741122880. Its totient is φ = 16397021088000.

The previous prime is 42204421309993. The next prime is 42204421310053. The reversal of 42204421310000 is 1312440224.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×42204421310000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76695839 + ... + 77244161.

Almost surely, 2^{42204421310000} is an apocalyptic number.

42204421310000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204421310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52570870561440).

42204421310000 is an abundant number, since it is smaller than the sum of its proper divisors (62937319812880).

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

42204421310000 is a wasteful number, since it uses less digits than its factorization.

42204421310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548573 (or 548552 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42204421310000 its reverse (1312440224), we get a palindrome (42205733750224).

The spelling of 42204421310000 in words is "forty-two trillion, two hundred four billion, four hundred twenty-one million, three hundred ten thousand".