40454645000 has 480 divisors, whose sum is σ = 127503810720. Its totient is φ = 11854080000.

The previous prime is 40454644981. The next prime is 40454645041. The reversal of 40454645000 is 54645404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45814559 + ... + 45815441.

It is an arithmetic number, because the mean of its divisors is an integer number (265632939).

Almost surely, 2^40454645000 is an apocalyptic number.

40454645000 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 40454645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63751905360).

40454645000 is an abundant number, since it is smaller than the sum of its proper divisors (87049165720).

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

40454645000 is a wasteful number, since it uses less digits than its factorization.

40454645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 40454645000 in words is "forty billion, four hundred fifty-four million, six hundred forty-five thousand".