1438568640 has 448 divisors, whose sum is σ = 5407395840. Its totient is φ = 359424000.

The previous prime is 1438568639. The next prime is 1438568687. The reversal of 1438568640 is 468658341.

1438568640 is a `hidden beast` number, since 1 + 43 + 8 + 568 + 6 + 40 = 666.

It is a super-4 number, since 4×1438568640⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10981375 + ... + 10981505.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2^1438568640 is an apocalyptic number.

1438568640 is a gapful number since it is divisible by the number (10) 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 1438568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703697920).

1438568640 is an abundant number, since it is smaller than the sum of its proper divisors (3968827200).

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

1438568640 is a wasteful number, since it uses less digits than its factorization.

1438568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1438568640 is about 37928.4674090583. The cubic root of 1438568640 is about 1128.8689546933.

The spelling of 1438568640 in words is "one billion, four hundred thirty-eight million, five hundred sixty-eight thousand, six hundred forty".