42309540000 has 1800 divisors, whose sum is σ = 199539617508. Its totient is φ = 8709120000.

The previous prime is 42309539989. The next prime is 42309540023. The reversal of 42309540000 is 4590324.

It can be written as a sum of positive squares in 10 ways, for example, as 20128799376 + 22180740624 = 141876^2 + 148932^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1031939980 + ... + 1031940020.

Almost surely, 2^42309540000 is an apocalyptic number.

42309540000 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 42309540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99769808754).

42309540000 is an abundant number, since it is smaller than the sum of its proper divisors (157230077508).

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

42309540000 is a wasteful number, since it uses less digits than its factorization.

42309540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 42309540000 in words is "forty-two billion, three hundred nine million, five hundred forty thousand".