42452628482880 has 6720 divisors, whose sum is σ = 213471971328000. Its totient is φ = 7966754611200.

The previous prime is 42452628482821. The next prime is 42452628482897. The reversal of 42452628482880 is 8828482625424.

42452628482880 is a `hidden beast` number, since 4 + 2 + 4 + 52 + 6 + 28 + 482 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 633621320607 + ... + 633621320673.

It is an arithmetic number, because the mean of its divisors is an integer number (31766662400).

Almost surely, 2^{42452628482880} is an apocalyptic number.

42452628482880 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 42452628482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106735985664000).

42452628482880 is an abundant number, since it is smaller than the sum of its proper divisors (171019342845120).

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

42452628482880 is a wasteful number, since it uses less digits than its factorization.

42452628482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 125829120, while the sum is 63.

The spelling of 42452628482880 in words is "forty-two trillion, four hundred fifty-two billion, six hundred twenty-eight million, four hundred eighty-two thousand, eight hundred eighty".