993920990400 has 1008 divisors, whose sum is σ = 3958019170560. Its totient is φ = 234875289600.

The previous prime is 993920990341. The next prime is 993920990459. The reversal of 993920990400 is 4099029399.

It is an interprime number because it is at equal distance from previous prime (993920990341) and next prime (993920990459).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1210621990 + ... + 1210622810.

It is an arithmetic number, because the mean of its divisors is an integer number (3926606320).

Almost surely, 2^993920990400 is an apocalyptic number.

993920990400 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 993920990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979009585280).

993920990400 is an abundant number, since it is smaller than the sum of its proper divisors (2964098180160).

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

993920990400 is a wasteful number, since it uses less digits than its factorization.

993920990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 993920990400 in words is "nine hundred ninety-three billion, nine hundred twenty million, nine hundred ninety thousand, four hundred".