41011401120 has 96 divisors (see below), whose sum is σ = 136785112128. Its totient is φ = 10293055488.

The previous prime is 41011401083. The next prime is 41011401121. The reversal of 41011401120 is 2110411014.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41011401120.

It is not an unprimeable number, because it can be changed into a prime (41011401121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2504794 + ... + 2521113.

It is an arithmetic number, because the mean of its divisors is an integer number (1424844918).

Almost surely, 2^41011401120 is an apocalyptic number.

41011401120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41011401120 is an abundant number, since it is smaller than the sum of its proper divisors (95773711008).

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

41011401120 is a wasteful number, since it uses less digits than its factorization.

41011401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025942 (or 5025934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 41011401120 its reverse (2110411014), we get a palindrome (43121812134).

The spelling of 41011401120 in words is "forty-one billion, eleven million, four hundred one thousand, one hundred twenty".