40774784817440 has 192 divisors, whose sum is σ = 98462827532160. Its totient is φ = 15953579089920.

The previous prime is 40774784817407. The next prime is 40774784817493. The reversal of 40774784817440 is 4471848747704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545597996 + ... + 545672724.

It is an arithmetic number, because the mean of its divisors is an integer number (512827226730).

Almost surely, 2^{40774784817440} is an apocalyptic number.

40774784817440 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 40774784817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49231413766080).

40774784817440 is an abundant number, since it is smaller than the sum of its proper divisors (57688042714720).

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

40774784817440 is a wasteful number, since it uses less digits than its factorization.

40774784817440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75235 (or 75227 counting only the distinct ones).

The product of its (nonzero) digits is 157351936, while the sum is 65.

The spelling of 40774784817440 in words is "forty trillion, seven hundred seventy-four billion, seven hundred eighty-four million, eight hundred seventeen thousand, four hundred forty".