42979142999104 has 147 divisors (see below), whose sum is σ = 92642332574883. Its totient is φ = 19783346499072.

The previous prime is 42979142999063. The next prime is 42979142999119. The reversal of 42979142999104 is 40199924197924.

The square root of 42979142999104 is 6555848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 7883471293504 + 35095671705600 = 2807752^2 + 5924160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 115225584262 + ... + 115225584634.

It is an arithmetic number, because the mean of its divisors is an integer number (630219949489).

Almost surely, 2^{42979142999104} is an apocalyptic number.

42979142999104 is the 6555848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42979142999104

42979142999104 is an abundant number, since it is smaller than the sum of its proper divisors (49663189575779).

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

42979142999104 is an frugal number, since it uses more digits than its factorization.

42979142999104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 70.

The spelling of 42979142999104 in words is "forty-two trillion, nine hundred seventy-nine billion, one hundred forty-two million, nine hundred ninety-nine thousand, one hundred four".