4224015070000 has 400 divisors, whose sum is σ = 11345586050304. Its totient is φ = 1510096000000.

The previous prime is 4224015069997. The next prime is 4224015070003. The reversal of 4224015070000 is 705104224.

It is an interprime number because it is at equal distance from previous prime (4224015069997) and next prime (4224015070003).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4224015070003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4350169515 + ... + 4350170485.

Almost surely, 2^{4224015070000} is an apocalyptic number.

4224015070000 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 4224015070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672793025152).

4224015070000 is an abundant number, since it is smaller than the sum of its proper divisors (7121570980304).

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

4224015070000 is a wasteful number, since it uses less digits than its factorization.

4224015070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The spelling of 4224015070000 in words is "four trillion, two hundred twenty-four billion, fifteen million, seventy thousand".