4013573078240 has 144 divisors (see below), whose sum is σ = 10518060833280. Its totient is φ = 1446090624000.

The previous prime is 4013573078159. The next prime is 4013573078243. The reversal of 4013573078240 is 428703753104.

It is a super-2 number, since 2×4013573078240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4013573078191 and 4013573078200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013573078243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159265 + ... + 3061215.

It is an arithmetic number, because the mean of its divisors is an integer number (73042089120).

Almost surely, 2^{4013573078240} is an apocalyptic number.

4013573078240 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 4013573078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259030416640).

4013573078240 is an abundant number, since it is smaller than the sum of its proper divisors (6504487755040).

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

4013573078240 is a wasteful number, since it uses less digits than its factorization.

4013573078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902097 (or 1902078 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 4013573078240 in words is "four trillion, thirteen billion, five hundred seventy-three million, seventy-eight thousand, two hundred forty".