42045635400 has 192 divisors, whose sum is σ = 131502000000. Its totient is φ = 11112837120.

The previous prime is 42045635393. The next prime is 42045635473. The reversal of 42045635400 is 453654024.

42045635400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41670096 + ... + 41671104.

It is an arithmetic number, because the mean of its divisors is an integer number (684906250).

Almost surely, 2^42045635400 is an apocalyptic number.

42045635400 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 42045635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65751000000).

42045635400 is an abundant number, since it is smaller than the sum of its proper divisors (89456364600).

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

42045635400 is a wasteful number, since it uses less digits than its factorization.

42045635400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 42045635400 in words is "forty-two billion, forty-five million, six hundred thirty-five thousand, four hundred".