42445715400 has 576 divisors, whose sum is σ = 159966368640. Its totient is φ = 9999360000.

The previous prime is 42445715341. The next prime is 42445715407. The reversal of 42445715400 is 451754424.

42445715400 is a `hidden beast` number, since 4 + 2 + 4 + 45 + 71 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42445715407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136481245 + ... + 136481555.

It is an arithmetic number, because the mean of its divisors is an integer number (277719390).

Almost surely, 2^42445715400 is an apocalyptic number.

42445715400 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 42445715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79983184320).

42445715400 is an abundant number, since it is smaller than the sum of its proper divisors (117520653240).

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

42445715400 is a wasteful number, since it uses less digits than its factorization.

42445715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 42445715400 in words is "forty-two billion, four hundred forty-five million, seven hundred fifteen thousand, four hundred".