40845600000 has 864 divisors, whose sum is σ = 158399861760. Its totient is φ = 10368000000.

The previous prime is 40845599959. The next prime is 40845600017. The reversal of 40845600000 is 654804.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 669599970 + ... + 669600030.

Almost surely, 2^40845600000 is an apocalyptic number.

40845600000 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 40845600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79199930880).

40845600000 is an abundant number, since it is smaller than the sum of its proper divisors (117554261760).

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

40845600000 is an frugal number, since it uses more digits than its factorization.

40845600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40845600000 in words is "forty billion, eight hundred forty-five million, six hundred thousand".