40577034240 has 576 divisors, whose sum is σ = 152396899200. Its totient is φ = 10335485952.

The previous prime is 40577034227. The next prime is 40577034247. The reversal of 40577034240 is 4243077504.

40577034240 is a `hidden beast` number, since 4 + 0 + 577 + 0 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 40577034195 and 40577034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40577034247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57231006 + ... + 57231714.

It is an arithmetic number, because the mean of its divisors is an integer number (264577950).

Almost surely, 2^40577034240 is an apocalyptic number.

40577034240 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 40577034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76198449600).

40577034240 is an abundant number, since it is smaller than the sum of its proper divisors (111819864960).

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

40577034240 is an equidigital number, since it uses as much as digits as its factorization.

40577034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 40577034240 in words is "forty billion, five hundred seventy-seven million, thirty-four thousand, two hundred forty".