42500400000 has 384 divisors, whose sum is σ = 142854606720. Its totient is φ = 11193600000.

The previous prime is 42500399989. The next prime is 42500400001. The reversal of 42500400000 is 400524.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500400001) 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, 128399835 + ... + 128400165.

It is an arithmetic number, because the mean of its divisors is an integer number (372017205).

Almost surely, 2^42500400000 is an apocalyptic number.

42500400000 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 42500400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71427303360).

42500400000 is an abundant number, since it is smaller than the sum of its proper divisors (100354206720).

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

42500400000 is an equidigital number, since it uses as much as digits as its factorization.

42500400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 42500400000 its reverse (400524), we get a palindrome (42500800524).

The spelling of 42500400000 in words is "forty-two billion, five hundred million, four hundred thousand".