40577040 has 240 divisors, whose sum is σ = 159239808. Its totient is φ = 9068544.

The previous prime is 40577029. The next prime is 40577041. The reversal of 40577040 is 4077504.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 40576995 and 40577013.

It is not an unprimeable number, because it can be changed into a prime (40577041) 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, 418272 + ... + 418368.

Almost surely, 2^40577040 is an apocalyptic number.

40577040 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 40577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

40577040 is an abundant number, since it is smaller than the sum of its proper divisors (118662768).

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

40577040 is a wasteful number, since it uses less digits than its factorization.

40577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 40577040 is about 6370.0109890015. The cubic root of 40577040 is about 343.6318849291.

The spelling of 40577040 in words is "forty million, five hundred seventy-seven thousand, forty".