4023870240000 has 1440 divisors, whose sum is σ = 15351147060480. Its totient is φ = 929550336000.

The previous prime is 4023870239999. The next prime is 4023870240037. The reversal of 4023870240000 is 420783204.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4023870240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75922079974 + ... + 75922080026.

It is an arithmetic number, because the mean of its divisors is an integer number (10660518792).

Almost surely, 2^{4023870240000} is an apocalyptic number.

4023870240000 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 4023870240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675573530240).

4023870240000 is an abundant number, since it is smaller than the sum of its proper divisors (11327276820480).

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

4023870240000 is an frugal number, since it uses more digits than its factorization.

4023870240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 4023870240000 in words is "four trillion, twenty-three billion, eight hundred seventy million, two hundred forty thousand".