4013238078720 has 1728 divisors, whose sum is σ = 16563022560000. Its totient is φ = 927900499968.

The previous prime is 4013238078719. The next prime is 4013238078743. The reversal of 4013238078720 is 278708323104.

4013238078720 is a `hidden beast` number, since 4 + 0 + 132 + 380 + 78 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4013238078720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8042561031 + ... + 8042561529.

It is an arithmetic number, because the mean of its divisors is an integer number (9585082500).

Almost surely, 2^{4013238078720} is an apocalyptic number.

4013238078720 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 4013238078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281511280000).

4013238078720 is an abundant number, since it is smaller than the sum of its proper divisors (12549784481280).

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

4013238078720 is an equidigital number, since it uses as much as digits as its factorization.

4013238078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 539 counting only the distinct ones).

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

The spelling of 4013238078720 in words is "four trillion, thirteen billion, two hundred thirty-eight million, seventy-eight thousand, seven hundred twenty".