42250505169600 has 5376 divisors, whose sum is σ = 209688979046400. Its totient is φ = 8026324992000.

The previous prime is 42250505169583. The next prime is 42250505169713. The reversal of 42250505169600 is 696150505224.

42250505169600 is a `hidden beast` number, since 4 + 2 + 2 + 50 + 505 + 1 + 6 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 164398852672 + ... + 164398852928.

It is an arithmetic number, because the mean of its divisors is an integer number (39004646400).

Almost surely, 2^{42250505169600} is an apocalyptic number.

42250505169600 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 42250505169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104844489523200).

42250505169600 is an abundant number, since it is smaller than the sum of its proper divisors (167438473876800).

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

42250505169600 is a wasteful number, since it uses less digits than its factorization.

42250505169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 42250505169600 in words is "forty-two trillion, two hundred fifty billion, five hundred five million, one hundred sixty-nine thousand, six hundred".