40040832000 has 528 divisors, whose sum is σ = 144458132832. Its totient is φ = 9840230400.

The previous prime is 40040831959. The next prime is 40040832031. The reversal of 40040832000 is 23804004.

It is a happy number.

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, 64895692 + ... + 64896308.

Almost surely, 2^40040832000 is an apocalyptic number.

40040832000 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 40040832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72229066416).

40040832000 is an abundant number, since it is smaller than the sum of its proper divisors (104417300832).

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

40040832000 is a wasteful number, since it uses less digits than its factorization.

40040832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 40040832000 in words is "forty billion, forty million, eight hundred thirty-two thousand".