42497718681600 has 5712 divisors, whose sum is σ = 214877151482112. Its totient is φ = 8072189706240.

The previous prime is 42497718681571. The next prime is 42497718681611. The reversal of 42497718681600 is 618681779424.

42497718681600 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 7 + 7 + 18 + 6 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5712).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1847726899189 + ... + 1847726899211.

Almost surely, 2^{42497718681600} is an apocalyptic number.

42497718681600 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 42497718681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107438575741056).

42497718681600 is an abundant number, since it is smaller than the sum of its proper divisors (172379432800512).

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

42497718681600 is an equidigital number, since it uses as much as digits as its factorization.

42497718681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 42497718681600 in words is "forty-two trillion, four hundred ninety-seven billion, seven hundred eighteen million, six hundred eighty-one thousand, six hundred".