42415545600 has 162 divisors, whose sum is σ = 151645354406. Its totient is φ = 11310796800.

The previous prime is 42415545569. The next prime is 42415545631. The reversal of 42415545600 is 654551424.

42415545600 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 5 + 5 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42415545569) and next prime (42415545631).

It can be written as a sum of positive squares in 3 ways, for example, as 249387264 + 42166158336 = 15792^2 + 205344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 310591 + ... + 425790.

Almost surely, 2^42415545600 is an apocalyptic number.

42415545600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42415545600 is an abundant number, since it is smaller than the sum of its proper divisors (109229808806).

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

42415545600 is a wasteful number, since it uses less digits than its factorization.

42415545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736413 (or 736391 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42415545600 in words is "forty-two billion, four hundred fifteen million, five hundred forty-five thousand, six hundred".