4079824070400 has 2160 divisors, whose sum is σ = 17388855792000. Its totient is φ = 934918225920.

The previous prime is 4079824070363. The next prime is 4079824070401. The reversal of 4079824070400 is 40704289704.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079824070401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17070393481 + ... + 17070393719.

It is an arithmetic number, because the mean of its divisors is an integer number (8050396200).

Almost surely, 2^{4079824070400} is an apocalyptic number.

4079824070400 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 4079824070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694427896000).

4079824070400 is an abundant number, since it is smaller than the sum of its proper divisors (13309031721600).

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

4079824070400 is a wasteful number, since it uses less digits than its factorization.

4079824070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4079824070400 in words is "four trillion, seventy-nine billion, eight hundred twenty-four million, seventy thousand, four hundred".