4015493658240 has 512 divisors, whose sum is σ = 13400449920000. Its totient is φ = 1021461331968.

The previous prime is 4015493658223. The next prime is 4015493658289. The reversal of 4015493658240 is 428563945104.

It is a happy number.

It is a super-2 number, since 2×4015493658240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2810001846 + ... + 2810003274.

It is an arithmetic number, because the mean of its divisors is an integer number (26172753750).

Almost surely, 2^{4015493658240} is an apocalyptic number.

4015493658240 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 4015493658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700224960000).

4015493658240 is an abundant number, since it is smaller than the sum of its proper divisors (9384956261760).

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

4015493658240 is a wasteful number, since it uses less digits than its factorization.

4015493658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 4015493658240 in words is "four trillion, fifteen billion, four hundred ninety-three million, six hundred fifty-eight thousand, two hundred forty".