42145100928 has 320 divisors, whose sum is σ = 151776979200. Its totient is φ = 11332804608.

The previous prime is 42145100923. The next prime is 42145100953. The reversal of 42145100928 is 82900154124.

42145100928 is a `hidden beast` number, since 42 + 14 + 510 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×42145100928² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42145100892 and 42145100901.

It is not an unprimeable number, because it can be changed into a prime (42145100923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216713 + ... + 1250871.

It is an arithmetic number, because the mean of its divisors is an integer number (474303060).

Almost surely, 2^42145100928 is an apocalyptic number.

42145100928 is a gapful number since it is divisible by the number (48) 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 42145100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888489600).

42145100928 is an abundant number, since it is smaller than the sum of its proper divisors (109631878272).

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

42145100928 is a wasteful number, since it uses less digits than its factorization.

42145100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34209 (or 34188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 42145100928 in words is "forty-two billion, one hundred forty-five million, one hundred thousand, nine hundred twenty-eight".