42151700752800 has 288 divisors, whose sum is σ = 139629241281600. Its totient is φ = 11043356712960.

The previous prime is 42151700752769. The next prime is 42151700752801. The reversal of 42151700752800 is 825700715124.

It is not an unprimeable number, because it can be changed into a prime (42151700752801) 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, 32906731 + ... + 34163669.

It is an arithmetic number, because the mean of its divisors is an integer number (484823754450).

Almost surely, 2^{42151700752800} is an apocalyptic number.

42151700752800 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 42151700752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69814620640800).

42151700752800 is an abundant number, since it is smaller than the sum of its proper divisors (97477540528800).

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

42151700752800 is a wasteful number, since it uses less digits than its factorization.

42151700752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257208 (or 1257195 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 42151700752800 in words is "forty-two trillion, one hundred fifty-one billion, seven hundred million, seven hundred fifty-two thousand, eight hundred".