39954554640 has 1280 divisors, whose sum is σ = 195827466240. Its totient is φ = 7206174720.

The previous prime is 39954554611. The next prime is 39954554677. The reversal of 39954554640 is 4645545993.

39954554640 is a `hidden beast` number, since 3 + 9 + 9 + 54 + 5 + 546 + 40 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 36756177 + ... + 36757263.

It is an arithmetic number, because the mean of its divisors is an integer number (152990208).

Almost surely, 2^39954554640 is an apocalyptic number.

39954554640 is a gapful number since it is divisible by the number (30) 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 39954554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97913733120).

39954554640 is an abundant number, since it is smaller than the sum of its proper divisors (155872911600).

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

39954554640 is a wasteful number, since it uses less digits than its factorization.

39954554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 39954554640 in words is "thirty-nine billion, nine hundred fifty-four million, five hundred fifty-four thousand, six hundred forty".