42125211052000 has 192 divisors, whose sum is σ = 107823150751680. Its totient is φ = 16160474112000.

The previous prime is 42125211051961. The next prime is 42125211052009. The reversal of 42125211052000 is 25011252124.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125211052009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7499212 + ... + 11852788.

It is an arithmetic number, because the mean of its divisors is an integer number (561578910165).

Almost surely, 2^{42125211052000} is an apocalyptic number.

42125211052000 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 42125211052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53911575375840).

42125211052000 is an abundant number, since it is smaller than the sum of its proper divisors (65697939699680).

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

42125211052000 is a wasteful number, since it uses less digits than its factorization.

42125211052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353702 (or 4353684 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 42125211052000 in words is "forty-two trillion, one hundred twenty-five billion, two hundred eleven million, fifty-two thousand".