1961374400 has 168 divisors, whose sum is σ = 5119359840. Its totient is φ = 738304000.

The previous prime is 1961374397. The next prime is 1961374453. The reversal of 1961374400 is 44731691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901885 + ... + 1902915.

It is an arithmetic number, because the mean of its divisors is an integer number (30472380).

Almost surely, 2^1961374400 is an apocalyptic number.

1961374400 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 1961374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559679920).

1961374400 is an abundant number, since it is smaller than the sum of its proper divisors (3157985440).

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

1961374400 is a wasteful number, since it uses less digits than its factorization.

1961374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1961374400 is about 44287.4067879346. The cubic root of 1961374400 is about 1251.7574000781.

The spelling of 1961374400 in words is "one billion, nine hundred sixty-one million, three hundred seventy-four thousand, four hundred".