42642844409088 has 1512 divisors, whose sum is σ = 161964306432768. Its totient is φ = 10962293760000.

The previous prime is 42642844409057. The next prime is 42642844409089. The reversal of 42642844409088 is 88090444824624.

It is a happy number.

42642844409088 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 28 + 4 + 440 + 90 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42642844409089) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15965121993 + ... + 15965124663.

Almost surely, 2^{42642844409088} is an apocalyptic number.

42642844409088 is a gapful number since it is divisible by the number (48) 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 42642844409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80982153216384).

42642844409088 is an abundant number, since it is smaller than the sum of its proper divisors (119321462023680).

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

42642844409088 is a wasteful number, since it uses less digits than its factorization.

42642844409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 42642844409088 in words is "forty-two trillion, six hundred forty-two billion, eight hundred forty-four million, four hundred nine thousand, eighty-eight".