42138487400 has 96 divisors (see below), whose sum is σ = 100552593240. Its totient is φ = 16416092160.

The previous prime is 42138487387. The next prime is 42138487411. The reversal of 42138487400 is 478483124.

It is a happy number.

42138487400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2347014916 + 39791472484 = 48446^2 + 199478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437692 + ... + 1466708.

Almost surely, 2^42138487400 is an apocalyptic number.

42138487400 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 42138487400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276296620).

42138487400 is an abundant number, since it is smaller than the sum of its proper divisors (58414105840).

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

42138487400 is a wasteful number, since it uses less digits than its factorization.

42138487400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29223 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 42138487400 in words is "forty-two billion, one hundred thirty-eight million, four hundred eighty-seven thousand, four hundred".