40801761120 has 96 divisors (see below), whose sum is σ = 132957508320. Its totient is φ = 10505277440.

The previous prime is 40801761101. The next prime is 40801761167. The reversal of 40801761120 is 2116710804.

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 (30).

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 15 ways as a sum of consecutive naturals, for example, 1451661 + ... + 1479500.

It is an arithmetic number, because the mean of its divisors is an integer number (1384974045).

Almost surely, 2^40801761120 is an apocalyptic number.

40801761120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40801761120 is an abundant number, since it is smaller than the sum of its proper divisors (92155747200).

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

40801761120 is a wasteful number, since it uses less digits than its factorization.

40801761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931208 (or 2931200 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 40801761120 in words is "forty billion, eight hundred one million, seven hundred sixty-one thousand, one hundred twenty".