42609758400 has 924 divisors, whose sum is σ = 175750798104. Its totient is φ = 10077696000.

The previous prime is 42609758353. The next prime is 42609758407. The reversal of 42609758400 is 485790624.

It is a happy number.

42609758400 is a `hidden beast` number, since 4 + 2 + 60 + 9 + 7 + 584 + 0 + 0 = 666.

42609758400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42609758407) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 1039262380 + ... + 1039262420.

Almost surely, 2^42609758400 is an apocalyptic number.

42609758400 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 42609758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87875399052).

42609758400 is an abundant number, since it is smaller than the sum of its proper divisors (133141039704).

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

42609758400 is an equidigital number, since it uses as much as digits as its factorization.

42609758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

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

The spelling of 42609758400 in words is "forty-two billion, six hundred nine million, seven hundred fifty-eight thousand, four hundred".