42972042240 has 616 divisors, whose sum is σ = 160285258440. Its totient is φ = 11036196864.

The previous prime is 42972042187. The next prime is 42972042259. The reversal of 42972042240 is 4224027924.

42972042240 is a `hidden beast` number, since 429 + 7 + 2 + 0 + 4 + 224 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7169347584 + 35802694656 = 84672^2 + 189216^2 .

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 42972042195 and 42972042204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108241722 + ... + 108242118.

Almost surely, 2^42972042240 is an apocalyptic number.

42972042240 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 42972042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80142629220).

42972042240 is an abundant number, since it is smaller than the sum of its proper divisors (117313216200).

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

42972042240 is an equidigital number, since it uses as much as digits as its factorization.

42972042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42972042240 in words is "forty-two billion, nine hundred seventy-two million, forty-two thousand, two hundred forty".