961142400 has 288 divisors, whose sum is σ = 3581154720. Its totient is φ = 244992000.

The previous prime is 961142387. The next prime is 961142401. The reversal of 961142400 is 4241169.

961142400 is a `hidden beast` number, since 9 + 611 + 4 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961142401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661675 + ... + 663125.

It is an arithmetic number, because the mean of its divisors is an integer number (12434565).

Almost surely, 2^961142400 is an apocalyptic number.

961142400 is a gapful number since it is divisible by the number (90) 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 961142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790577360).

961142400 is an abundant number, since it is smaller than the sum of its proper divisors (2620012320).

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

961142400 is a wasteful number, since it uses less digits than its factorization.

961142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1484 counting only the distinct ones).

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

The square root of 961142400 is about 31002.2966891164. The cubic root of 961142400 is about 986.8759802659.

Adding to 961142400 its reverse (4241169), we get a palindrome (965383569).

The spelling of 961142400 in words is "nine hundred sixty-one million, one hundred forty-two thousand, four hundred".