42451856053152 has 576 divisors, whose sum is σ = 147999525940224. Its totient is φ = 10542076231680.

The previous prime is 42451856053151. The next prime is 42451856053157. The reversal of 42451856053152 is 25135065815424.

It is a junction number, because it is equal to n+sod(n) for n = 42451856053095 and 42451856053104.

It is not an unprimeable number, because it can be changed into a prime (42451856053151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69838728 + ... + 70443960.

It is an arithmetic number, because the mean of its divisors is an integer number (256943621424).

Almost surely, 2^{42451856053152} is an apocalyptic number.

42451856053152 is a gapful number since it is divisible by the number (42) 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 42451856053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73999762970112).

42451856053152 is an abundant number, since it is smaller than the sum of its proper divisors (105547669887072).

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

42451856053152 is a wasteful number, since it uses less digits than its factorization.

42451856053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605341 (or 605326 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 42451856053152 in words is "forty-two trillion, four hundred fifty-one billion, eight hundred fifty-six million, fifty-three thousand, one hundred fifty-two".