40638517920 has 1152 divisors, whose sum is σ = 188542867968. Its totient is φ = 7761346560.

The previous prime is 40638517903. The next prime is 40638517963. The reversal of 40638517920 is 2971583604.

40638517920 is a `hidden beast` number, since 4 + 0 + 638 + 5 + 1 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×40638517920² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174414124 + ... + 174414356.

It is an arithmetic number, because the mean of its divisors is an integer number (163665684).

It is a 1-persistent number, because it is pandigital, but 2⋅40638517920 = 81277035840 is not.

Almost surely, 2^40638517920 is an apocalyptic number.

40638517920 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 40638517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94271433984).

40638517920 is an abundant number, since it is smaller than the sum of its proper divisors (147904350048).

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

40638517920 is a wasteful number, since it uses less digits than its factorization.

40638517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40638517920 in words is "forty billion, six hundred thirty-eight million, five hundred seventeen thousand, nine hundred twenty".