1438618496040 has 256 divisors, whose sum is σ = 5232356352000. Its totient is φ = 348688247040.

The previous prime is 1438618496039. The next prime is 1438618496047. The reversal of 1438618496040 is 406948168341.

1438618496040 is a `hidden beast` number, since 1 + 438 + 6 + 1 + 84 + 96 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1438618496047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90363201 + ... + 90379119.

It is an arithmetic number, because the mean of its divisors is an integer number (20438892000).

Almost surely, 2^{1438618496040} is an apocalyptic number.

1438618496040 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 1438618496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616178176000).

1438618496040 is an abundant number, since it is smaller than the sum of its proper divisors (3793737855960).

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

1438618496040 is a wasteful number, since it uses less digits than its factorization.

1438618496040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23557 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1438618496040 in words is "one trillion, four hundred thirty-eight billion, six hundred eighteen million, four hundred ninety-six thousand, forty".