42946301952 has 416 divisors, whose sum is σ = 137577346560. Its totient is φ = 13188464640.

The previous prime is 42946301941. The next prime is 42946301953. The reversal of 42946301952 is 25910364924.

42946301952 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 630 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42946301898 and 42946301907.

It is not an unprimeable number, because it can be changed into a prime (42946301953) 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, 99643177 + ... + 99643607.

Almost surely, 2^42946301952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42946301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68788673280).

42946301952 is an abundant number, since it is smaller than the sum of its proper divisors (94631044608).

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

42946301952 is a wasteful number, since it uses less digits than its factorization.

42946301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42946301952 in words is "forty-two billion, nine hundred forty-six million, three hundred one thousand, nine hundred fifty-two".