1934451875400 has 768 divisors, whose sum is σ = 7199539200000. Its totient is φ = 424434816000.

The previous prime is 1934451875393. The next prime is 1934451875423. The reversal of 1934451875400 is 45781544391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307101451 + ... + 307107749.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400000).

Almost surely, 2^{1934451875400} is an apocalyptic number.

1934451875400 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 1934451875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600000).

1934451875400 is an abundant number, since it is smaller than the sum of its proper divisors (5265087324600).

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

1934451875400 is a wasteful number, since it uses less digits than its factorization.

1934451875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 1934451875400 in words is "one trillion, nine hundred thirty-four billion, four hundred fifty-one million, eight hundred seventy-five thousand, four hundred".