40475911320 has 768 divisors, whose sum is σ = 158576745600. Its totient is φ = 8856207360.

The previous prime is 40475911271. The next prime is 40475911351. The reversal of 40475911320 is 2311957404.

40475911320 is a `hidden beast` number, since 4 + 0 + 47 + 591 + 1 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122283555 + ... + 122283885.

Almost surely, 2^40475911320 is an apocalyptic number.

40475911320 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 40475911320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79288372800).

40475911320 is an abundant number, since it is smaller than the sum of its proper divisors (118100834280).

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

40475911320 is a wasteful number, since it uses less digits than its factorization.

40475911320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40475911320 in words is "forty billion, four hundred seventy-five million, nine hundred eleven thousand, three hundred twenty".