42021271353600 has 1296 divisors, whose sum is σ = 191130206467200. Its totient is φ = 8731647590400.

The previous prime is 42021271353527. The next prime is 42021271353617. The reversal of 42021271353600 is 635317212024.

42021271353600 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 12 + 7 + 1 + 35 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217228122 + ... + 217421478.

Almost surely, 2^{42021271353600} is an apocalyptic number.

42021271353600 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 42021271353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95565103233600).

42021271353600 is an abundant number, since it is smaller than the sum of its proper divisors (149108935113600).

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

42021271353600 is a wasteful number, since it uses less digits than its factorization.

42021271353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193421 (or 193385 counting only the distinct ones).

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

Adding to 42021271353600 its reverse (635317212024), we get a palindrome (42656588565624).

The spelling of 42021271353600 in words is "forty-two trillion, twenty-one billion, two hundred seventy-one million, three hundred fifty-three thousand, six hundred".