42628217157120 has 320 divisors, whose sum is σ = 156882089903616. Its totient is φ = 9672469708800.

The previous prime is 42628217157101. The next prime is 42628217157173. The reversal of 42628217157120 is 2175171282624.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42628217157120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4471195 + ... + 10259045.

Almost surely, 2^{42628217157120} is an apocalyptic number.

42628217157120 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 42628217157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78441044951808).

42628217157120 is an abundant number, since it is smaller than the sum of its proper divisors (114253872746496).

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

42628217157120 is a wasteful number, since it uses less digits than its factorization.

42628217157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788021 (or 5788005 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 42628217157120 in words is "forty-two trillion, six hundred twenty-eight billion, two hundred seventeen million, one hundred fifty-seven thousand, one hundred twenty".