996040281600 has 3840 divisors, whose sum is σ = 5032837877760. Its totient is φ = 189191946240.

The previous prime is 996040281581. The next prime is 996040281619. The reversal of 996040281600 is 6182040699.

It is a happy number.

996040281600 is a `hidden beast` number, since 9 + 9 + 604 + 0 + 28 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (996040281581) and next prime (996040281619).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 43306099189 + ... + 43306099211.

It is an arithmetic number, because the mean of its divisors is an integer number (1310634864).

Almost surely, 2^996040281600 is an apocalyptic number.

996040281600 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 996040281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516418938880).

996040281600 is an abundant number, since it is smaller than the sum of its proper divisors (4036797596160).

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

996040281600 is a wasteful number, since it uses less digits than its factorization.

996040281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 996040281600 in words is "nine hundred ninety-six billion, forty million, two hundred eighty-one thousand, six hundred".