42152355442120 has 192 divisors, whose sum is σ = 120643006340160. Its totient is φ = 13107186086400.

The previous prime is 42152355442081. The next prime is 42152355442121. The reversal of 42152355442120 is 2124455325124.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42152355442121) 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, 6754767 + ... + 11398753.

It is an arithmetic number, because the mean of its divisors is an integer number (628348991355).

Almost surely, 2^{42152355442120} is an apocalyptic number.

42152355442120 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 42152355442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60321503170080).

42152355442120 is an abundant number, since it is smaller than the sum of its proper divisors (78490650898040).

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

42152355442120 is a wasteful number, since it uses less digits than its factorization.

42152355442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644444 (or 4644433 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 42152355442120 in words is "forty-two trillion, one hundred fifty-two billion, three hundred fifty-five million, four hundred forty-two thousand, one hundred twenty".