42654014784 has 336 divisors, whose sum is σ = 131813594640. Its totient is φ = 13160448000.

The previous prime is 42654014761. The next prime is 42654014867. The reversal of 42654014784 is 48741045624.

42654014784 is a `hidden beast` number, since 4 + 26 + 540 + 1 + 4 + 7 + 84 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10924430400 + 31729584384 = 104520^2 + 178128^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41776194 + ... + 41777214.

It is an arithmetic number, because the mean of its divisors is an integer number (392302365).

Almost surely, 2^42654014784 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 42654014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65906797320).

42654014784 is an abundant number, since it is smaller than the sum of its proper divisors (89159579856).

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

42654014784 is a wasteful number, since it uses less digits than its factorization.

42654014784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 42654014784 in words is "forty-two billion, six hundred fifty-four million, fourteen thousand, seven hundred eighty-four".