42753419280 has 480 divisors, whose sum is σ = 169479902592. Its totient is φ = 9521971200.

The previous prime is 42753419263. The next prime is 42753419309. The reversal of 42753419280 is 8291435724.

42753419280 is a `hidden beast` number, since 4 + 27 + 5 + 341 + 9 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24812499 + ... + 24814221.

Almost surely, 2^42753419280 is an apocalyptic number.

42753419280 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 42753419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84739951296).

42753419280 is an abundant number, since it is smaller than the sum of its proper divisors (126726483312).

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

42753419280 is a wasteful number, since it uses less digits than its factorization.

42753419280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42753419280 in words is "forty-two billion, seven hundred fifty-three million, four hundred nineteen thousand, two hundred eighty".