1438007040 has 144 divisors (see below), whose sum is σ = 5103050400. Its totient is φ = 383459328.

The previous prime is 1438007023. The next prime is 1438007047. The reversal of 1438007040 is 407008341.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1438006995 and 1438007013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438007047) 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, 13756 + ... + 55364.

It is an arithmetic number, because the mean of its divisors is an integer number (35437850).

Almost surely, 2^1438007040 is an apocalyptic number.

1438007040 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 1438007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551525200).

1438007040 is an abundant number, since it is smaller than the sum of its proper divisors (3665043360).

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

1438007040 is an equidigital number, since it uses as much as digits as its factorization.

1438007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41639 (or 41619 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1438007040 is about 37921.0632762321. The cubic root of 1438007040 is about 1128.7220365916.

The spelling of 1438007040 in words is "one billion, four hundred thirty-eight million, seven thousand, forty".