42504034644 has 72 divisors (see below), whose sum is σ = 113918470848. Its totient is φ = 13316117760.

The previous prime is 42504034609. The next prime is 42504034663. The reversal of 42504034644 is 44643040524.

42504034644 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 4 + 0 + 3 + 4 + 644 = 666.

It is a super-2 number, since 2×42504034644² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42504034599 and 42504034608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397159 + ... + 492689.

It is an arithmetic number, because the mean of its divisors is an integer number (1582200984).

Almost surely, 2^42504034644 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 42504034644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56959235424).

42504034644 is an abundant number, since it is smaller than the sum of its proper divisors (71414436204).

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

42504034644 is a wasteful number, since it uses less digits than its factorization.

42504034644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96285 (or 96280 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

It can be divided in two parts, 425040 and 34644, that added together give a square (459684 = 678²).

The spelling of 42504034644 in words is "forty-two billion, five hundred four million, thirty-four thousand, six hundred forty-four".