40009087388960 has 48 divisors (see below), whose sum is σ = 94580215039800. Its totient is φ = 15993688528896.

The previous prime is 40009087388947. The next prime is 40009087388987. The reversal of 40009087388960 is 6988378090004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36643022009104 + 3366065379856 = 6053348^2 + 1834684^2 .

It is a super-2 number, since 2×40009087388960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40009087388893 and 40009087388902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77448215 + ... + 77963094.

Almost surely, 2^{40009087388960} is an apocalyptic number.

40009087388960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40009087388960 is an abundant number, since it is smaller than the sum of its proper divisors (54571127650840).

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

40009087388960 is a wasteful number, since it uses less digits than its factorization.

40009087388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155412933 (or 155412925 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 62.

The spelling of 40009087388960 in words is "forty trillion, nine billion, eighty-seven million, three hundred eighty-eight thousand, nine hundred sixty".