43788148136640 has 1008 divisors, whose sum is σ = 165113424822528. Its totient is φ = 11024958117888.

The previous prime is 43788148136581. The next prime is 43788148136671. The reversal of 43788148136640 is 4663184188734.

43788148136640 is a `hidden beast` number, since 4 + 3 + 7 + 8 + 81 + 481 + 36 + 6 + 40 = 666.

It is a super-2 number, since 2×43788148136640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11161901719 + ... + 11161905641.

It is an arithmetic number, because the mean of its divisors is an integer number (163803000816).

Almost surely, 2^{43788148136640} is an apocalyptic number.

43788148136640 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 43788148136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82556712411264).

43788148136640 is an abundant number, since it is smaller than the sum of its proper divisors (121325276685888).

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

43788148136640 is an equidigital number, since it uses as much as digits as its factorization.

43788148136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 43788148136640 in words is "forty-three trillion, seven hundred eighty-eight billion, one hundred forty-eight million, one hundred thirty-six thousand, six hundred forty".