4311204990400 has 336 divisors, whose sum is σ = 13385260788480. Its totient is φ = 1327559270400.

The previous prime is 4311204990377. The next prime is 4311204990461. The reversal of 4311204990400 is 40994021134.

It is a self number, because there is not a number n which added to its sum of digits gives 4311204990400.

It is a congruent number.

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, 10014796 + ... + 10436404.

It is an arithmetic number, because the mean of its divisors is an integer number (39837085680).

Almost surely, 2^{4311204990400} is an apocalyptic number.

4311204990400 is a gapful number since it is divisible by the number (40) 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 4311204990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692630394240).

4311204990400 is an abundant number, since it is smaller than the sum of its proper divisors (9074055798080).

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

4311204990400 is a wasteful number, since it uses less digits than its factorization.

4311204990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421732 (or 421717 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 4311204990400 in words is "four trillion, three hundred eleven billion, two hundred four million, nine hundred ninety thousand, four hundred".