40409508000 has 384 divisors, whose sum is σ = 137492619264. Its totient is φ = 10367616000.

The previous prime is 40409507989. The next prime is 40409508127. The reversal of 40409508000 is 80590404.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36635449 + ... + 36636551.

It is an arithmetic number, because the mean of its divisors is an integer number (358053696).

Almost surely, 2^40409508000 is an apocalyptic number.

40409508000 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 40409508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68746309632).

40409508000 is an abundant number, since it is smaller than the sum of its proper divisors (97083111264).

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

40409508000 is a wasteful number, since it uses less digits than its factorization.

40409508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 40409508000 in words is "forty billion, four hundred nine million, five hundred eight thousand".