42200546432 has 64 divisors (see below), whose sum is σ = 91855447200. Its totient is φ = 19152537600.

The previous prime is 42200546431. The next prime is 42200546447. The reversal of 42200546432 is 23464500224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42200546432² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42200546431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905132 + ... + 950612.

Almost surely, 2^42200546432 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 42200546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45927723600).

42200546432 is an abundant number, since it is smaller than the sum of its proper divisors (49654900768).

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

42200546432 is a wasteful number, since it uses less digits than its factorization.

42200546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46165 (or 46153 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 42200546432 in words is "forty-two billion, two hundred million, five hundred forty-six thousand, four hundred thirty-two".