42004044465300 has 216 divisors, whose sum is σ = 136071629191680. Its totient is φ = 10826576467200.

The previous prime is 42004044465287. The next prime is 42004044465307. The reversal of 42004044465300 is 356444040024.

42004044465300 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 40 + 44 + 46 + 530 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004044465307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22047046 + ... + 23876354.

Almost surely, 2^{42004044465300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004044465300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68035814595840).

42004044465300 is an abundant number, since it is smaller than the sum of its proper divisors (94067584726380).

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

42004044465300 is a wasteful number, since it uses less digits than its factorization.

42004044465300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830183 (or 1830173 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 42004044465300 in words is "forty-two trillion, four billion, forty-four million, four hundred sixty-five thousand, three hundred".