40776229440 has 420 divisors, whose sum is σ = 149969687868. Its totient is φ = 10516469760.

The previous prime is 40776229411. The next prime is 40776229453. The reversal of 40776229440 is 4492267704.

40776229440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6456443904 + 34319785536 = 80352^2 + 185256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24908302 + ... + 24909938.

Almost surely, 2^40776229440 is an apocalyptic number.

40776229440 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 40776229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74984843934).

40776229440 is an abundant number, since it is smaller than the sum of its proper divisors (109193458428).

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

40776229440 is a wasteful number, since it uses less digits than its factorization.

40776229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 40776229440 in words is "forty billion, seven hundred seventy-six million, two hundred twenty-nine thousand, four hundred forty".