40924880640 has 1440 divisors, whose sum is σ = 184626376704. Its totient is φ = 8440381440.

The previous prime is 40924880597. The next prime is 40924880669. The reversal of 40924880640 is 4608842904.

40924880640 is a `hidden beast` number, since 40 + 92 + 488 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 382475467 + ... + 382475573.

Almost surely, 2^40924880640 is an apocalyptic number.

40924880640 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 40924880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92313188352).

40924880640 is an abundant number, since it is smaller than the sum of its proper divisors (143701496064).

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

40924880640 is a wasteful number, since it uses less digits than its factorization.

40924880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40924880640 in words is "forty billion, nine hundred twenty-four million, eight hundred eighty thousand, six hundred forty".