40577773440 has 128 divisors (see below), whose sum is σ = 129660400800. Its totient is φ = 10794074112.

The previous prime is 40577773427. The next prime is 40577773441. The reversal of 40577773440 is 4437777504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40577773440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40577773441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759444 + ... + 811116.

Almost surely, 2^40577773440 is an apocalyptic number.

40577773440 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 40577773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64830200400).

40577773440 is an abundant number, since it is smaller than the sum of its proper divisors (89082627360).

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

40577773440 is a wasteful number, since it uses less digits than its factorization.

40577773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52104 (or 52092 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 48.

The spelling of 40577773440 in words is "forty billion, five hundred seventy-seven million, seven hundred seventy-three thousand, four hundred forty".