40777344000 has 1232 divisors, whose sum is σ = 167534340480. Its totient is φ = 9853747200.

The previous prime is 40777343941. The next prime is 40777344001. The reversal of 40777344000 is 44377704.

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

It is not an unprimeable number, because it can be changed into a prime (40777344001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1772927989 + ... + 1772928011.

Almost surely, 2^40777344000 is an apocalyptic number.

40777344000 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 40777344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83767170240).

40777344000 is an abundant number, since it is smaller than the sum of its proper divisors (126756996480).

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

40777344000 is an equidigital number, since it uses as much as digits as its factorization.

40777344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 40777344000 in words is "forty billion, seven hundred seventy-seven million, three hundred forty-four thousand".