961004240400 has 120 divisors (see below), whose sum is σ = 3259500333984. Its totient is φ = 241193216000.

The previous prime is 961004240381. The next prime is 961004240419. The reversal of 961004240400 is 4042400169.

It is an interprime number because it is at equal distance from previous prime (961004240381) and next prime (961004240419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23533626 + ... + 23574425.

Almost surely, 2^961004240400 is an apocalyptic number.

It is an amenable number.

961004240400 is an abundant number, since it is smaller than the sum of its proper divisors (2298496093584).

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

961004240400 is a wasteful number, since it uses less digits than its factorization.

961004240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47108089 (or 47108078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 961004240400 its reverse (4042400169), we get a palindrome (965046640569).

The spelling of 961004240400 in words is "nine hundred sixty-one billion, four million, two hundred forty thousand, four hundred".