41801400720 has 120 divisors (see below), whose sum is σ = 141277578936. Its totient is φ = 11076009984.

The previous prime is 41801400709. The next prime is 41801400721. The reversal of 41801400720 is 2700410814.

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 38461485456 = 57792^2 + 196116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (41801400721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71857 + ... + 297936.

Almost surely, 2^41801400720 is an apocalyptic number.

41801400720 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 41801400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70638789468).

41801400720 is an abundant number, since it is smaller than the sum of its proper divisors (99476178216).

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

41801400720 is a wasteful number, since it uses less digits than its factorization.

41801400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369969 (or 369960 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 41801400720 in words is "forty-one billion, eight hundred one million, four hundred thousand, seven hundred twenty".