42075706400 has 288 divisors, whose sum is σ = 129370969728. Its totient is φ = 13005619200.

The previous prime is 42075706399. The next prime is 42075706403. The reversal of 42075706400 is 460757024.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (42075706403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3123680 + ... + 3137120.

It is an arithmetic number, because the mean of its divisors is an integer number (449204756).

Almost surely, 2^42075706400 is an apocalyptic number.

42075706400 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 42075706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64685484864).

42075706400 is an abundant number, since it is smaller than the sum of its proper divisors (87295263328).

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

42075706400 is a wasteful number, since it uses less digits than its factorization.

42075706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 42075706400 in words is "forty-two billion, seventy-five million, seven hundred six thousand, four hundred".