42838502400 has 660 divisors, whose sum is σ = 161367089752. Its totient is φ = 11227299840.

The previous prime is 42838502389. The next prime is 42838502407. The reversal of 42838502400 is 420583824.

42838502400 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 (36).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42838502407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 151372659 + ... + 151372941.

Almost surely, 2^42838502400 is an apocalyptic number.

42838502400 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 42838502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80683544876).

42838502400 is an abundant number, since it is smaller than the sum of its proper divisors (118528587352).

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

42838502400 is a wasteful number, since it uses less digits than its factorization.

42838502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42838502400 in words is "forty-two billion, eight hundred thirty-eight million, five hundred two thousand, four hundred".