42052158720000 has 3840 divisors, whose sum is σ = 187065239961600. Its totient is φ = 9196830720000.

The previous prime is 42052158719983. The next prime is 42052158720059. The reversal of 42052158720000 is 2785125024.

It is a happy number.

42052158720000 is a `hidden beast` number, since 4 + 2 + 0 + 52 + 1 + 587 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 331119359937 + ... + 331119360063.

It is an arithmetic number, because the mean of its divisors is an integer number (48714906240).

Almost surely, 2^{42052158720000} is an apocalyptic number.

42052158720000 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 42052158720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93532619980800).

42052158720000 is an abundant number, since it is smaller than the sum of its proper divisors (145013081241600).

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

42052158720000 is a wasteful number, since it uses less digits than its factorization.

42052158720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 42052158720000 in words is "forty-two trillion, fifty-two billion, one hundred fifty-eight million, seven hundred twenty thousand".