40898813760 has 448 divisors, whose sum is σ = 165669772800. Its totient is φ = 9304326144.

The previous prime is 40898813759. The next prime is 40898813771. The reversal of 40898813760 is 6731889804.

40898813760 is a `hidden beast` number, since 408 + 98 + 81 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40898813697 and 40898813706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13848444 + ... + 13851396.

It is an arithmetic number, because the mean of its divisors is an integer number (369798600).

Almost surely, 2^40898813760 is an apocalyptic number.

40898813760 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 40898813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82834886400).

40898813760 is an abundant number, since it is smaller than the sum of its proper divisors (124770959040).

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

40898813760 is a wasteful number, since it uses less digits than its factorization.

40898813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 40898813760 in words is "forty billion, eight hundred ninety-eight million, eight hundred thirteen thousand, seven hundred sixty".