42473755050480 has 1920 divisors, whose sum is σ = 174312993254400. Its totient is φ = 9164452921344.

The previous prime is 42473755050457. The next prime is 42473755050521. The reversal of 42473755050480 is 8405055737424.

42473755050480 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 3 + 7 + 5 + 50 + 504 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16469077831 + ... + 16469080409.

It is an arithmetic number, because the mean of its divisors is an integer number (90788017320).

Almost surely, 2^{42473755050480} is an apocalyptic number.

42473755050480 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 42473755050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87156496627200).

42473755050480 is an abundant number, since it is smaller than the sum of its proper divisors (131839238203920).

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

42473755050480 is a wasteful number, since it uses less digits than its factorization.

42473755050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 42473755050480 in words is "forty-two trillion, four hundred seventy-three billion, seven hundred fifty-five million, fifty thousand, four hundred eighty".