4115378741760 has 3200 divisors, whose sum is σ = 18510363260928. Its totient is φ = 867129753600.

The previous prime is 4115378741737. The next prime is 4115378741809. The reversal of 4115378741760 is 671478735114.

4115378741760 is a `hidden beast` number, since 4 + 1 + 1 + 537 + 8 + 7 + 41 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4115378741697 and 4115378741706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 111226452462 + ... + 111226452498.

Almost surely, 2^{4115378741760} is an apocalyptic number.

4115378741760 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 4115378741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255181630464).

4115378741760 is an abundant number, since it is smaller than the sum of its proper divisors (14394984519168).

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

4115378741760 is a wasteful number, since it uses less digits than its factorization.

4115378741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 4115378741760 in words is "four trillion, one hundred fifteen billion, three hundred seventy-eight million, seven hundred forty-one thousand, seven hundred sixty".