4072479843600 has 2160 divisors, whose sum is σ = 18133645622400. Its totient is φ = 850154434560.

The previous prime is 4072479843571. The next prime is 4072479843613. The reversal of 4072479843600 is 63489742704.

4072479843600 is a `hidden beast` number, since 4 + 0 + 7 + 24 + 7 + 9 + 8 + 4 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 37362200346 + ... + 37362200454.

Almost surely, 2^{4072479843600} is an apocalyptic number.

4072479843600 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 4072479843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066822811200).

4072479843600 is an abundant number, since it is smaller than the sum of its proper divisors (14061165778800).

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

4072479843600 is a wasteful number, since it uses less digits than its factorization.

4072479843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4072479843600 in words is "four trillion, seventy-two billion, four hundred seventy-nine million, eight hundred forty-three thousand, six hundred".