40577012040 has 128 divisors (see below), whose sum is σ = 124141973760. Its totient is φ = 10608021504.

The previous prime is 40577012033. The next prime is 40577012239. The reversal of 40577012040 is 4021077504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40577011989 and 40577012007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449052 + ... + 1476788.

It is an arithmetic number, because the mean of its divisors is an integer number (969859170).

Almost surely, 2^40577012040 is an apocalyptic number.

40577012040 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 40577012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62070986880).

40577012040 is an abundant number, since it is smaller than the sum of its proper divisors (83564961720).

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

40577012040 is a wasteful number, since it uses less digits than its factorization.

40577012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991 (or 27987 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

Adding to 40577012040 its reverse (4021077504), we get a palindrome (44598089544).

The spelling of 40577012040 in words is "forty billion, five hundred seventy-seven million, twelve thousand, forty".