41132640120 has 128 divisors (see below), whose sum is σ = 144971043840. Its totient is φ = 9204503040.

The previous prime is 41132640103. The next prime is 41132640121. The reversal of 41132640120 is 2104623114.

41132640120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41132640120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132640121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181344 + ... + 1215663.

It is an arithmetic number, because the mean of its divisors is an integer number (1132586280).

Almost surely, 2^41132640120 is an apocalyptic number.

41132640120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41132640120 is an abundant number, since it is smaller than the sum of its proper divisors (103838403720).

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

41132640120 is a wasteful number, since it uses less digits than its factorization.

41132640120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397045 (or 2397041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 41132640120 in words is "forty-one billion, one hundred thirty-two million, six hundred forty thousand, one hundred twenty".