42186432960 has 1344 divisors, whose sum is σ = 187882426368. Its totient is φ = 8790736896.

The previous prime is 42186432947. The next prime is 42186432971. The reversal of 42186432960 is 6923468124.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434911632 + ... + 434911728.

It is an arithmetic number, because the mean of its divisors is an integer number (139793472).

Almost surely, 2^42186432960 is an apocalyptic number.

42186432960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42186432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93941213184).

42186432960 is an abundant number, since it is smaller than the sum of its proper divisors (145695993408).

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

42186432960 is a wasteful number, since it uses less digits than its factorization.

42186432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42186432960 in words is "forty-two billion, one hundred eighty-six million, four hundred thirty-two thousand, nine hundred sixty".