42714273600 has 504 divisors, whose sum is σ = 157115024352. Its totient is φ = 10999296000.

The previous prime is 42714273587. The next prime is 42714273619. The reversal of 42714273600 is 637241724.

42714273600 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 42 + 7 + 3 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62538859 + ... + 62539541.

Almost surely, 2^42714273600 is an apocalyptic number.

42714273600 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 42714273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78557512176).

42714273600 is an abundant number, since it is smaller than the sum of its proper divisors (114400750752).

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

42714273600 is a wasteful number, since it uses less digits than its factorization.

42714273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42714273600 in words is "forty-two billion, seven hundred fourteen million, two hundred seventy-three thousand, six hundred".