42632338576 has 45 divisors (see below), whose sum is σ = 84731231833. Its totient is φ = 20779744640.

The previous prime is 42632338513. The next prime is 42632338577. The reversal of 42632338576 is 67583323624.

The square root of 42632338576 is 206476.

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

42632338576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2054264976 + 40578073600 = 45324^2 + 201440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42632338577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33861435 + ... + 33862693.

Almost surely, 2^42632338576 is an apocalyptic number.

42632338576 is the 206476-th square number.

It is an amenable number.

42632338576 is a deficient number, since it is larger than the sum of its proper divisors (42098893257).

42632338576 is an frugal number, since it uses more digits than its factorization.

42632338576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 1302 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 49.

Multiplying 42632338576 by its sum of digits (49), we get a square (2088984590224 = 1445332²).

The spelling of 42632338576 in words is "forty-two billion, six hundred thirty-two million, three hundred thirty-eight thousand, five hundred seventy-six".