40009833360 has 480 divisors, whose sum is σ = 159987260160. Its totient is φ = 9102772224.

The previous prime is 40009833337. The next prime is 40009833377. The reversal of 40009833360 is 6333890004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36604974 + ... + 36606066.

It is an arithmetic number, because the mean of its divisors is an integer number (333306792).

Almost surely, 2^40009833360 is an apocalyptic number.

40009833360 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 40009833360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79993630080).

40009833360 is an abundant number, since it is smaller than the sum of its proper divisors (119977426800).

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

40009833360 is a wasteful number, since it uses less digits than its factorization.

40009833360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 40009833360 in words is "forty billion, nine million, eight hundred thirty-three thousand, three hundred sixty".