40309776000 has 768 divisors, whose sum is σ = 158902642080. Its totient is φ = 9732096000.

The previous prime is 40309775977. The next prime is 40309776107. The reversal of 40309776000 is 67790304.

40309776000 is a `hidden beast` number, since 40 + 3 + 0 + 9 + 7 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19024133184 + 21285642816 = 137928^2 + 145896^2 .

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, 114191824 + ... + 114192176.

Almost surely, 2^40309776000 is an apocalyptic number.

40309776000 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 40309776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79451321040).

40309776000 is an abundant number, since it is smaller than the sum of its proper divisors (118592866080).

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

40309776000 is a wasteful number, since it uses less digits than its factorization.

40309776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 40309776000 in words is "forty billion, three hundred nine million, seven hundred seventy-six thousand".