40655830376448 has 1344 divisors, whose sum is σ = 148388773478400. Its totient is φ = 10870478733312.

The previous prime is 40655830376431. The next prime is 40655830376591. The reversal of 40655830376448 is 84467303855604.

It is a happy number.

40655830376448 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 583 + 0 + 3 + 7 + 6 + 4 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15063292603 + ... + 15063295301.

It is an arithmetic number, because the mean of its divisors is an integer number (110408313600).

Almost surely, 2^{40655830376448} is an apocalyptic number.

40655830376448 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 40655830376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74194386739200).

40655830376448 is an abundant number, since it is smaller than the sum of its proper divisors (107732943101952).

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

40655830376448 is an equidigital number, since it uses as much as digits as its factorization.

40655830376448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 40655830376448 in words is "forty trillion, six hundred fifty-five billion, eight hundred thirty million, three hundred seventy-six thousand, four hundred forty-eight".