4013115624000 has 896 divisors, whose sum is σ = 17558820864000. Its totient is φ = 877394073600.

The previous prime is 4013115623899. The next prime is 4013115624017. The reversal of 4013115624000 is 4265113104.

It is a happy number.

4013115624000 is a `hidden beast` number, since 4 + 0 + 1 + 31 + 1 + 5 + 624 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×4013115624000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34718301 + ... + 34833699.

Almost surely, 2^{4013115624000} is an apocalyptic number.

4013115624000 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 4013115624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779410432000).

4013115624000 is an abundant number, since it is smaller than the sum of its proper divisors (13545705240000).

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

4013115624000 is a wasteful number, since it uses less digits than its factorization.

4013115624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115465 (or 115439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 4013115624000 in words is "four trillion, thirteen billion, one hundred fifteen million, six hundred twenty-four thousand".