42974493120 has 672 divisors, whose sum is σ = 169849068480. Its totient is φ = 9879552000.

The previous prime is 42974493077. The next prime is 42974493127. The reversal of 42974493120 is 2139447924.

42974493120 is a `hidden beast` number, since 4 + 297 + 4 + 49 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42974493127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159756346 + ... + 159756614.

It is an arithmetic number, because the mean of its divisors is an integer number (252751590).

Almost surely, 2^42974493120 is an apocalyptic number.

42974493120 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 42974493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84924534240).

42974493120 is an abundant number, since it is smaller than the sum of its proper divisors (126874575360).

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

42974493120 is a wasteful number, since it uses less digits than its factorization.

42974493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42974493120 in words is "forty-two billion, nine hundred seventy-four million, four hundred ninety-three thousand, one hundred twenty".