40077377200224 has 384 divisors, whose sum is σ = 144125955348480. Its totient is φ = 10550869788672.

The previous prime is 40077377200169. The next prime is 40077377200243. The reversal of 40077377200224 is 42200277377004.

40077377200224 is a `hidden beast` number, since 4 + 0 + 0 + 77 + 377 + 200 + 2 + 2 + 4 = 666.

40077377200224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40077377200224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43335997 + ... + 44251139.

It is an arithmetic number, because the mean of its divisors is an integer number (375328008720).

Almost surely, 2^{40077377200224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40077377200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72062977674240).

40077377200224 is an abundant number, since it is smaller than the sum of its proper divisors (104048578148256).

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

40077377200224 is a wasteful number, since it uses less digits than its factorization.

40077377200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915739 (or 915725 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 45.

The spelling of 40077377200224 in words is "forty trillion, seventy-seven billion, three hundred seventy-seven million, two hundred thousand, two hundred twenty-four".