938377440000 has 4320 divisors, whose sum is σ = 4891770132480. Its totient is φ = 174182400000.

The previous prime is 938377439999. The next prime is 938377440037. The reversal of 938377440000 is 44773839.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30270239985 + ... + 30270240015.

Almost surely, 2^938377440000 is an apocalyptic number.

938377440000 is a gapful number since it is divisible by the number (90) 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 938377440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445885066240).

938377440000 is an abundant number, since it is smaller than the sum of its proper divisors (3953392692480).

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

938377440000 is a wasteful number, since it uses less digits than its factorization.

938377440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 938377440000 in words is "nine hundred thirty-eight billion, three hundred seventy-seven million, four hundred forty thousand".