1338470177940 has 144 divisors (see below), whose sum is σ = 4645410352128. Its totient is φ = 305581289472.

The previous prime is 1338470177939. The next prime is 1338470177951. The reversal of 1338470177940 is 497710748331.

1338470177940 is a `hidden beast` number, since 1 + 3 + 384 + 7 + 0 + 177 + 94 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471924 + ... + 1702836.

It is an arithmetic number, because the mean of its divisors is an integer number (32259794112).

Almost surely, 2^{1338470177940} is an apocalyptic number.

1338470177940 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 1338470177940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322705176064).

1338470177940 is an abundant number, since it is smaller than the sum of its proper divisors (3306940174188).

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

1338470177940 is a wasteful number, since it uses less digits than its factorization.

1338470177940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231798 (or 1231793 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1338470177940 in words is "one trillion, three hundred thirty-eight billion, four hundred seventy million, one hundred seventy-seven thousand, nine hundred forty".