42030246297600 has 1920 divisors, whose sum is σ = 172035918014400. Its totient is φ = 10059094425600.

The previous prime is 42030246297593. The next prime is 42030246297601. The reversal of 42030246297600 is 679264203024.

42030246297600 is a `hidden beast` number, since 4 + 2 + 0 + 30 + 2 + 4 + 6 + 2 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42030246297601) 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 119 ways as a sum of consecutive naturals, for example, 64961740477 + ... + 64961741123.

Almost surely, 2^{42030246297600} is an apocalyptic number.

42030246297600 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 42030246297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017959007200).

42030246297600 is an abundant number, since it is smaller than the sum of its proper divisors (130005671716800).

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

42030246297600 is an equidigital number, since it uses as much as digits as its factorization.

42030246297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42030246297600 in words is "forty-two trillion, thirty billion, two hundred forty-six million, two hundred ninety-seven thousand, six hundred".