1934138727680 has 144 divisors (see below), whose sum is σ = 4837098397824. Its totient is φ = 739589283840.

The previous prime is 1934138727637. The next prime is 1934138727721. The reversal of 1934138727680 is 867278314391.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53297702 + ... + 53333978.

It is an arithmetic number, because the mean of its divisors is an integer number (33590961096).

Almost surely, 2^{1934138727680} is an apocalyptic number.

1934138727680 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 1934138727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418549198912).

1934138727680 is an abundant number, since it is smaller than the sum of its proper divisors (2902959670144).

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

1934138727680 is a wasteful number, since it uses less digits than its factorization.

1934138727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38132 (or 38118 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 1934138727680 in words is "one trillion, nine hundred thirty-four billion, one hundred thirty-eight million, seven hundred twenty-seven thousand, six hundred eighty".