42103488000 has 320 divisors, whose sum is σ = 159986331648. Its totient is φ = 9623347200.

The previous prime is 42103487963. The next prime is 42103488013. The reversal of 42103488000 is 88430124.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×42103488000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328337 + ... + 1359663.

Almost surely, 2^42103488000 is an apocalyptic number.

42103488000 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 42103488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79993165824).

42103488000 is an abundant number, since it is smaller than the sum of its proper divisors (117882843648).

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

42103488000 is an equidigital number, since it uses as much as digits as its factorization.

42103488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31370 (or 31344 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 42103488000 in words is "forty-two billion, one hundred three million, four hundred eighty-eight thousand".