42473963520 has 600 divisors, whose sum is σ = 157291823304. Its totient is φ = 10956570624.

The previous prime is 42473963513. The next prime is 42473963527. The reversal of 42473963520 is 2536937424.

42473963520 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 3 + 9 + 635 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42473963513) and next prime (42473963527).

It can be written as a sum of positive squares in 4 ways, for example, as 21404860416 + 21069103104 = 146304^2 + 145152^2 .

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 (42473963527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245514154 + ... + 245514326.

Almost surely, 2^42473963520 is an apocalyptic number.

42473963520 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 42473963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78645911652).

42473963520 is an abundant number, since it is smaller than the sum of its proper divisors (114817859784).

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

42473963520 is an equidigital number, since it uses as much as digits as its factorization.

42473963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 42473963520 in words is "forty-two billion, four hundred seventy-three million, nine hundred sixty-three thousand, five hundred twenty".