40475485440 has 216 divisors, whose sum is σ = 150813903240. Its totient is φ = 9963159552.

The previous prime is 40475485429. The next prime is 40475485459. The reversal of 40475485440 is 4458457404.

40475485440 is a `hidden beast` number, since 40 + 47 + 54 + 85 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1423401984 + 39052083456 = 37728^2 + 197616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14626 + ... + 284894.

It is an arithmetic number, because the mean of its divisors is an integer number (698212515).

Almost surely, 2^40475485440 is an apocalyptic number.

40475485440 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 40475485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75406951620).

40475485440 is an abundant number, since it is smaller than the sum of its proper divisors (110338417800).

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

40475485440 is a wasteful number, since it uses less digits than its factorization.

40475485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270309 (or 270292 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 40475485440 in words is "forty billion, four hundred seventy-five million, four hundred eighty-five thousand, four hundred forty".