42054945660 has 672 divisors, whose sum is σ = 168743111040. Its totient is φ = 8559323136.

The previous prime is 42054945649. The next prime is 42054945671. The reversal of 42054945660 is 6654945024.

42054945660 is a `hidden beast` number, since 4 + 2 + 0 + 549 + 45 + 6 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42054945649) and next prime (42054945671).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 223 ways as a sum of consecutive naturals, for example, 38476074 + ... + 38477166.

It is an arithmetic number, because the mean of its divisors is an integer number (251105820).

Almost surely, 2^42054945660 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 42054945660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84371555520).

42054945660 is an abundant number, since it is smaller than the sum of its proper divisors (126688165380).

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

42054945660 is a wasteful number, since it uses less digits than its factorization.

42054945660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 42054945660 in words is "forty-two billion, fifty-four million, nine hundred forty-five thousand, six hundred sixty".