40226250512448 has 1344 divisors, whose sum is σ = 164402874574848. Its totient is φ = 9050398064640.

The previous prime is 40226250512377. The next prime is 40226250512477. The reversal of 40226250512448 is 84421505262204.

40226250512448 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 625 + 0 + 5 + 12 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3401215911 + ... + 3401227737.

It is an arithmetic number, because the mean of its divisors is an integer number (122323567392).

Almost surely, 2^{40226250512448} is an apocalyptic number.

40226250512448 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 40226250512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82201437287424).

40226250512448 is an abundant number, since it is smaller than the sum of its proper divisors (124176624062400).

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

40226250512448 is a wasteful number, since it uses less digits than its factorization.

40226250512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12240 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 40226250512448 in words is "forty trillion, two hundred twenty-six billion, two hundred fifty million, five hundred twelve thousand, four hundred forty-eight".