42271978291200 has 1932 divisors, whose sum is σ = 181907949427840. Its totient is φ = 9539860561920.

The previous prime is 42271978291183. The next prime is 42271978291211. The reversal of 42271978291200 is 219287917224.

42271978291200 is a `hidden beast` number, since 4 + 2 + 271 + 9 + 7 + 82 + 91 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 535088332761 + ... + 535088332839.

Almost surely, 2^{42271978291200} is an apocalyptic number.

42271978291200 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 42271978291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90953974713920).

42271978291200 is an abundant number, since it is smaller than the sum of its proper divisors (139635971136640).

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

42271978291200 is an frugal number, since it uses more digits than its factorization.

42271978291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 42271978291200 in words is "forty-two trillion, two hundred seventy-one billion, nine hundred seventy-eight million, two hundred ninety-one thousand, two hundred".