42029211204036 has 135 divisors (see below), whose sum is σ = 123945503231823. Its totient is φ = 12007801486800.

The previous prime is 42029211204031. The next prime is 42029211204037. The reversal of 42029211204036 is 63040211292024.

It is a happy number.

The square root of 42029211204036 is 6482994.

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

42029211204036 is a `hidden beast` number, since 4 + 202 + 9 + 21 + 1 + 20 + 403 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42029211204031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1905989211 + ... + 1906011261.

Almost surely, 2^{42029211204036} is an apocalyptic number.

42029211204036 is the 6482994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42029211204036

42029211204036 is an abundant number, since it is smaller than the sum of its proper divisors (81916292027787).

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

42029211204036 is an frugal number, since it uses more digits than its factorization.

42029211204036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44140 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

42029211204036 divided by its sum of digits (36) gives a square (1167478089001 = 1080499²).

The spelling of 42029211204036 in words is "forty-two trillion, twenty-nine billion, two hundred eleven million, two hundred four thousand, thirty-six".