42021010152 has 192 divisors, whose sum is σ = 126527132160. Its totient is φ = 12491740800.

The previous prime is 42021010111. The next prime is 42021010153. The reversal of 42021010152 is 25101012024.

42021010152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42021010153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13954327 + ... + 13957337.

It is an arithmetic number, because the mean of its divisors is an integer number (658995480).

Almost surely, 2^42021010152 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 42021010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63263566080).

42021010152 is an abundant number, since it is smaller than the sum of its proper divisors (84506122008).

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

42021010152 is a wasteful number, since it uses less digits than its factorization.

42021010152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 42021010152 its reverse (25101012024), we get a palindrome (67122022176).

The spelling of 42021010152 in words is "forty-two billion, twenty-one million, ten thousand, one hundred fifty-two".