40475409408 has 528 divisors, whose sum is σ = 141861750784. Its totient is φ = 10868981760.

The previous prime is 40475409389. The next prime is 40475409431. The reversal of 40475409408 is 80490457404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73994991 + ... + 73995537.

Almost surely, 2^40475409408 is an apocalyptic number.

40475409408 is a gapful number since it is divisible by the number (48) 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 40475409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70930875392).

40475409408 is an abundant number, since it is smaller than the sum of its proper divisors (101386341376).

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

40475409408 is a wasteful number, since it uses less digits than its factorization.

40475409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40475409408 in words is "forty billion, four hundred seventy-five million, four hundred nine thousand, four hundred eight".