42216753600 has 1512 divisors, whose sum is σ = 190442453760. Its totient is φ = 8813629440.

The previous prime is 42216753583. The next prime is 42216753661. The reversal of 42216753600 is 635761224.

42216753600 is a `hidden beast` number, since 4 + 221 + 6 + 75 + 360 + 0 = 666.

It is a super-2 number, since 2×42216753600² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 630100767 + ... + 630100833.

Almost surely, 2^42216753600 is an apocalyptic number.

42216753600 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 42216753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95221226880).

42216753600 is an abundant number, since it is smaller than the sum of its proper divisors (148225700160).

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

42216753600 is a wasteful number, since it uses less digits than its factorization.

42216753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 4221 and 6753600, that multiplied together give a square (28506945600 = 168840²).

The spelling of 42216753600 in words is "forty-two billion, two hundred sixteen million, seven hundred fifty-three thousand, six hundred".