42485454400 has 63 divisors (see below), whose sum is σ = 104561062531. Its totient is φ = 16990883840.

The previous prime is 42485454379. The next prime is 42485454421. The reversal of 42485454400 is 445458424.

The square root of 42485454400 is 206120.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (42485454379) and next prime (42485454421).

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 42482156544 = 1816^2 + 206112^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8242224 + ... + 8247376.

Almost surely, 2^42485454400 is an apocalyptic number.

42485454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42485454400 is the 206120-th square number.

It is an amenable number.

42485454400 is an abundant number, since it is smaller than the sum of its proper divisors (62075608131).

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

42485454400 is an frugal number, since it uses more digits than its factorization.

42485454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 42485454400 in words is "forty-two billion, four hundred eighty-five million, four hundred fifty-four thousand, four hundred".