1961167440 has 80 divisors (see below), whose sum is σ = 6085324800. Its totient is φ = 522487296.

The previous prime is 1961167367. The next prime is 1961167469. The reversal of 1961167440 is 447611691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 303766 + ... + 310154.

It is an arithmetic number, because the mean of its divisors is an integer number (76066560).

Almost surely, 2^1961167440 is an apocalyptic number.

1961167440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1961167440 is an abundant number, since it is smaller than the sum of its proper divisors (4124157360).

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

1961167440 is a wasteful number, since it uses less digits than its factorization.

1961167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1961167440 is about 44285.0701704310. The cubic root of 1961167440 is about 1251.7133709483.

The spelling of 1961167440 in words is "one billion, nine hundred sixty-one million, one hundred sixty-seven thousand, four hundred forty".