2401113103488 has 1280 divisors, whose sum is σ = 8572164733440. Its totient is φ = 658920407040.

The previous prime is 2401113103451. The next prime is 2401113103507. The reversal of 2401113103488 is 8843013111042.

2401113103488 is a `hidden beast` number, since 2 + 40 + 1 + 1 + 131 + 0 + 3 + 488 = 666.

It is a super-2 number, since 2×2401113103488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6919634131 + ... + 6919634477.

It is an arithmetic number, because the mean of its divisors is an integer number (6697003698).

Almost surely, 2^{2401113103488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401113103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286082366720).

2401113103488 is an abundant number, since it is smaller than the sum of its proper divisors (6171051629952).

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

2401113103488 is a wasteful number, since it uses less digits than its factorization.

2401113103488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2401113103488 in words is "two trillion, four hundred one billion, one hundred thirteen million, one hundred three thousand, four hundred eighty-eight".