38640551040 has 640 divisors, whose sum is σ = 169857515520. Its totient is φ = 8151736320.

The previous prime is 38640550969. The next prime is 38640551051. The reversal of 38640551040 is 4015504683.

It is a happy number.

38640551040 is a `hidden beast` number, since 3 + 8 + 64 + 0 + 551 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38640550986 and 38640551004.

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 79 ways as a sum of consecutive naturals, for example, 4713345 + ... + 4721535.

It is an arithmetic number, because the mean of its divisors is an integer number (265402368).

Almost surely, 2^38640551040 is an apocalyptic number.

38640551040 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 38640551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84928757760).

38640551040 is an abundant number, since it is smaller than the sum of its proper divisors (131216964480).

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

38640551040 is a wasteful number, since it uses less digits than its factorization.

38640551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 38640551040 in words is "thirty-eight billion, six hundred forty million, five hundred fifty-one thousand, forty".