1438994678000 has 640 divisors, whose sum is σ = 4207162152960. Its totient is φ = 473793408000.

The previous prime is 1438994677997. The next prime is 1438994678003. The reversal of 1438994678000 is 8764998341.

It is an interprime number because it is at equal distance from previous prime (1438994677997) and next prime (1438994678003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438994678003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1163293382 + ... + 1163294618.

It is an arithmetic number, because the mean of its divisors is an integer number (6573690864).

Almost surely, 2^{1438994678000} is an apocalyptic number.

1438994678000 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 1438994678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103581076480).

1438994678000 is an abundant number, since it is smaller than the sum of its proper divisors (2768167474960).

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

1438994678000 is a wasteful number, since it uses less digits than its factorization.

1438994678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 1438994678000 in words is "one trillion, four hundred thirty-eight billion, nine hundred ninety-four million, six hundred seventy-eight thousand".