40120418677248 has 960 divisors, whose sum is σ = 144279767503872. Its totient is φ = 10450572410880.

The previous prime is 40120418677243. The next prime is 40120418677249. The reversal of 40120418677248 is 84277681402104.

It is a happy number.

40120418677248 is a `hidden beast` number, since 4 + 0 + 120 + 418 + 67 + 7 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40120418677194 and 40120418677203.

It is not an unprimeable number, because it can be changed into a prime (40120418677243) 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 95 ways as a sum of consecutive naturals, for example, 15020746953 + ... + 15020749623.

Almost surely, 2^{40120418677248} is an apocalyptic number.

40120418677248 is a gapful number since it is divisible by the number (48) 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 40120418677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72139883751936).

40120418677248 is an abundant number, since it is smaller than the sum of its proper divisors (104159348826624).

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

40120418677248 is a wasteful number, since it uses less digits than its factorization.

40120418677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40120418677248 in words is "forty trillion, one hundred twenty billion, four hundred eighteen million, six hundred seventy-seven thousand, two hundred forty-eight".