42045654024 has 144 divisors (see below), whose sum is σ = 125547081660. Its totient is φ = 12702412800.

The previous prime is 42045653957. The next prime is 42045654029.

42045654024 is a `hidden beast` number, since 42 + 0 + 4 + 56 + 540 + 24 = 666.

42045654024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 33786116100 + 8259537924 = 183810^2 + 90882^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42045654024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045654029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2928784 + ... + 2943104.

Almost surely, 2^42045654024 is an apocalyptic number.

42045654024 is a gapful number since it is divisible by the number (44) 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 42045654024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62773540830).

42045654024 is an abundant number, since it is smaller than the sum of its proper divisors (83501427636).

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

42045654024 is a wasteful number, since it uses less digits than its factorization.

42045654024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 42045654024 in words is "forty-two billion, forty-five million, six hundred fifty-four thousand, twenty-four".