1961240400 has 360 divisors, whose sum is σ = 7835609600. Its totient is φ = 444994560.

The previous prime is 1961240399. The next prime is 1961240447. The reversal of 1961240400 is 40421691.

1961240400 is a `hidden beast` number, since 1 + 9 + 612 + 4 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5619426 + ... + 5619774.

Almost surely, 2^1961240400 is an apocalyptic number.

1961240400 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 1961240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917804800).

1961240400 is an abundant number, since it is smaller than the sum of its proper divisors (5874369200).

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

1961240400 is a wasteful number, since it uses less digits than its factorization.

1961240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1961240400 is about 44285.8939166864. The cubic root of 1961240400 is about 1251.7288929741.

The spelling of 1961240400 in words is "one billion, nine hundred sixty-one million, two hundred forty thousand, four hundred".