9000037545040 has 40 divisors (see below), whose sum is σ = 21160200649320. Its totient is φ = 3559565408256.

The previous prime is 9000037545011. The next prime is 9000037545041. The reversal of 9000037545040 is 405457300009.

It can be written as a sum of positive squares in 4 ways, for example, as 618387213376 + 8381650331664 = 786376^2 + 2895108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000037545041) by changing a digit.

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, 632017989 + ... + 632032228.

It is an arithmetic number, because the mean of its divisors is an integer number (529005016233).

Almost surely, 2^{9000037545040} is an apocalyptic number.

It is an amenable number.

9000037545040 is an abundant number, since it is smaller than the sum of its proper divisors (12160163104280).

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

9000037545040 is a wasteful number, since it uses less digits than its factorization.

9000037545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264050319 (or 1264050313 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 9000037545040 in words is "nine trillion, thirty-seven million, five hundred forty-five thousand, forty".