42729295446 has 64 divisors (see below), whose sum is σ = 96195052800. Its totient is φ = 14232908520.

The previous prime is 42729295429. The next prime is 42729295447. The reversal of 42729295446 is 64459292724.

42729295446 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 92 + 9 + 544 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42729295392 and 42729295401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42729295447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8443665 + ... + 8448723.

It is an arithmetic number, because the mean of its divisors is an integer number (1503047700).

Almost surely, 2^42729295446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42729295446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48097526400).

42729295446 is an abundant number, since it is smaller than the sum of its proper divisors (53465757354).

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

42729295446 is an equidigital number, since it uses as much as digits as its factorization.

42729295446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 6995 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 42729295446 in words is "forty-two billion, seven hundred twenty-nine million, two hundred ninety-five thousand, four hundred forty-six".