42029064000 has 2016 divisors, whose sum is σ = 206523457920. Its totient is φ = 8273664000.

The previous prime is 42029063983. The next prime is 42029064031. The reversal of 42029064000 is 46092024.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2212055991 + ... + 2212056009.

Almost surely, 2^42029064000 is an apocalyptic number.

42029064000 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 42029064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103261728960).

42029064000 is an abundant number, since it is smaller than the sum of its proper divisors (164494393920).

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

42029064000 is a wasteful number, since it uses less digits than its factorization.

42029064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 42029064000 in words is "forty-two billion, twenty-nine million, sixty-four thousand".