1934433774000 has 1920 divisors, whose sum is σ = 8890182991872. Its totient is φ = 380414361600.

The previous prime is 1934433773977. The next prime is 1934433774067. The reversal of 1934433774000 is 4773344391.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3536441727 + ... + 3536442273.

Almost surely, 2^{1934433774000} is an apocalyptic number.

1934433774000 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 1934433774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445091495936).

1934433774000 is an abundant number, since it is smaller than the sum of its proper divisors (6955749217872).

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

1934433774000 is a wasteful number, since it uses less digits than its factorization.

1934433774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 1934433774000 in words is "one trillion, nine hundred thirty-four billion, four hundred thirty-three million, seven hundred seventy-four thousand".