40075560000 has 1680 divisors, whose sum is σ = 184852828160. Its totient is φ = 8398080000.

The previous prime is 40075559989. The next prime is 40075560017. The reversal of 40075560000 is 6557004.

40075560000 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 55 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1292759985 + ... + 1292760015.

Almost surely, 2^40075560000 is an apocalyptic number.

40075560000 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 40075560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92426414080).

40075560000 is an abundant number, since it is smaller than the sum of its proper divisors (144777268160).

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

40075560000 is an equidigital number, since it uses as much as digits as its factorization.

40075560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 40075560000 in words is "forty billion, seventy-five million, five hundred sixty thousand".