42892379712 has 840 divisors, whose sum is σ = 164812919040. Its totient is φ = 10921236480.

The previous prime is 42892379701. The next prime is 42892379753. The reversal of 42892379712 is 21797329824.

It is a happy number.

42892379712 is a `hidden beast` number, since 428 + 92 + 37 + 97 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 119 ways as a sum of consecutive naturals, for example, 102368239 + ... + 102368657.

It is an arithmetic number, because the mean of its divisors is an integer number (196205856).

Almost surely, 2^42892379712 is an apocalyptic number.

42892379712 is a gapful number since it is divisible by the number (42) 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 42892379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82406459520).

42892379712 is an abundant number, since it is smaller than the sum of its proper divisors (121920539328).

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

42892379712 is a wasteful number, since it uses less digits than its factorization.

42892379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 42892379712 in words is "forty-two billion, eight hundred ninety-two million, three hundred seventy-nine thousand, seven hundred twelve".