1961414784 has 128 divisors (see below), whose sum is σ = 6615964800. Its totient is φ = 560397312.

The previous prime is 1961414759. The next prime is 1961414827. The reversal of 1961414784 is 4874141691.

1961414784 is a `hidden beast` number, since 19 + 614 + 14 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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, 16347 + ... + 64730.

It is an arithmetic number, because the mean of its divisors is an integer number (51687225).

Almost surely, 2^1961414784 is an apocalyptic number.

1961414784 is a gapful number since it is divisible by the number (14) 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 1961414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307982400).

1961414784 is an abundant number, since it is smaller than the sum of its proper divisors (4654550016).

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

1961414784 is an equidigital number, since it uses as much as digits as its factorization.

1961414784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81107 (or 81089 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1961414784 is about 44287.8627165502. The cubic root of 1961414784 is about 1251.7659910987.

The spelling of 1961414784 in words is "one billion, nine hundred sixty-one million, four hundred fourteen thousand, seven hundred eighty-four".