40380267648 has 128 divisors (see below), whose sum is σ = 123062037120. Its totient is φ = 11492130816.

The previous prime is 40380267647. The next prime is 40380267713. The reversal of 40380267648 is 84676208304.

40380267648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40380267597 and 40380267606.

It is not an unprimeable number, because it can be changed into a prime (40380267647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661590 + ... + 720042.

It is an arithmetic number, because the mean of its divisors is an integer number (961422165).

Almost surely, 2^40380267648 is an apocalyptic number.

40380267648 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 40380267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61531018560).

40380267648 is an abundant number, since it is smaller than the sum of its proper divisors (82681769472).

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

40380267648 is a wasteful number, since it uses less digits than its factorization.

40380267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58734 (or 58722 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 40380267648 in words is "forty billion, three hundred eighty million, two hundred sixty-seven thousand, six hundred forty-eight".