40441040640 has 1728 divisors, whose sum is σ = 197299307520. Its totient is φ = 7710474240.

The previous prime is 40441040609. The next prime is 40441040681. The reversal of 40441040640 is 4604014404.

40441040640 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 10 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×40441040640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161837 + ... + 242162003.

It is an arithmetic number, because the mean of its divisors is an integer number (114177840).

Almost surely, 2^40441040640 is an apocalyptic number.

40441040640 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 40441040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98649653760).

40441040640 is an abundant number, since it is smaller than the sum of its proper divisors (156858266880).

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

40441040640 is a wasteful number, since it uses less digits than its factorization.

40441040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 40441040640 in words is "forty billion, four hundred forty-one million, forty thousand, six hundred forty".