4115191436640 has 144 divisors (see below), whose sum is σ = 14045396038128. Its totient is φ = 1097204241408.

The previous prime is 4115191436621. The next prime is 4115191436641. The reversal of 4115191436640 is 466341915114.

It is a happy number.

4115191436640 is a `hidden beast` number, since 4 + 1 + 151 + 9 + 1 + 436 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115191436641) 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, 8657647 + ... + 9120593.

It is an arithmetic number, because the mean of its divisors is an integer number (97537472487).

Almost surely, 2^{4115191436640} is an apocalyptic number.

4115191436640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115191436640 is an abundant number, since it is smaller than the sum of its proper divisors (9930204601488).

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

4115191436640 is a wasteful number, since it uses less digits than its factorization.

4115191436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469141 (or 469130 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4115191436640 in words is "four trillion, one hundred fifteen billion, one hundred ninety-one million, four hundred thirty-six thousand, six hundred forty".