4201315040000 has 360 divisors, whose sum is σ = 11301490865280. Its totient is φ = 1549062144000.

The previous prime is 4201315039979. The next prime is 4201315040023. The reversal of 4201315040000 is 405131024.

4201315040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2681119217 + ... + 2681120783.

Almost surely, 2^{4201315040000} is an apocalyptic number.

4201315040000 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 4201315040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650745432640).

4201315040000 is an abundant number, since it is smaller than the sum of its proper divisors (7100175825280).

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

4201315040000 is a wasteful number, since it uses less digits than its factorization.

4201315040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 4201315040000 in words is "four trillion, two hundred one billion, three hundred fifteen million, forty thousand".