961400000 has 336 divisors, whose sum is σ = 2857317120. Its totient is φ = 316800000.

The previous prime is 961399979. The next prime is 961400071. The reversal of 961400000 is 4169.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41799989 + ... + 41800011.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2^961400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428658560).

961400000 is an abundant number, since it is smaller than the sum of its proper divisors (1895917120).

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

961400000 is a wasteful number, since it uses less digits than its factorization.

961400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 961400000 is about 31006.4509416992. The cubic root of 961400000 is about 986.9641380472.

Adding to 961400000 its reverse (4169), we get a palindrome (961404169).

The spelling of 961400000 in words is "nine hundred sixty-one million, four hundred thousand".