41100931872 has 1440 divisors, whose sum is σ = 172858904064. Its totient is φ = 9405849600.

The previous prime is 41100931853. The next prime is 41100931891. The reversal of 41100931872 is 27813900114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41100931853) and next prime (41100931891).

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 239 ways as a sum of consecutive naturals, for example, 563026428 + ... + 563026500.

Almost surely, 2^41100931872 is an apocalyptic number.

41100931872 is a gapful number since it is divisible by the number (42) 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 41100931872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86429452032).

41100931872 is an abundant number, since it is smaller than the sum of its proper divisors (131757972192).

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

41100931872 is a wasteful number, since it uses less digits than its factorization.

41100931872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 41100931872 in words is "forty-one billion, one hundred million, nine hundred thirty-one thousand, eight hundred seventy-two".