40488408000 has 336 divisors, whose sum is σ = 149835778560. Its totient is φ = 10424064000.

The previous prime is 40488407929. The next prime is 40488408001. The reversal of 40488408000 is 80488404.

It is a super-2 number, since 2×40488408000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40488408001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2078305 + ... + 2097695.

Almost surely, 2^40488408000 is an apocalyptic number.

40488408000 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 40488408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74917889280).

40488408000 is an abundant number, since it is smaller than the sum of its proper divisors (109347370560).

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

40488408000 is a wasteful number, since it uses less digits than its factorization.

40488408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40488408000 in words is "forty billion, four hundred eighty-eight million, four hundred eight thousand".