4100375836480 has 336 divisors, whose sum is σ = 12518494664256. Its totient is φ = 1264858398720.

The previous prime is 4100375836477. The next prime is 4100375836519. The reversal of 4100375836480 is 846385730014.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16608019 + ... + 16853101.

It is an arithmetic number, because the mean of its divisors is an integer number (37257424596).

Almost surely, 2^{4100375836480} is an apocalyptic number.

4100375836480 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 4100375836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259247332128).

4100375836480 is an abundant number, since it is smaller than the sum of its proper divisors (8418118827776).

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

4100375836480 is a wasteful number, since it uses less digits than its factorization.

4100375836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245222 (or 245205 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 4100375836480 in words is "four trillion, one hundred billion, three hundred seventy-five million, eight hundred thirty-six thousand, four hundred eighty".