8411990400 has 768 divisors, whose sum is σ = 34422796800. Its totient is φ = 1988812800.

The previous prime is 8411990387. The next prime is 8411990401. The reversal of 8411990400 is 40991148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8411990401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50371117 + ... + 50371283.

It is an arithmetic number, because the mean of its divisors is an integer number (44821350).

Almost surely, 2^8411990400 is an apocalyptic number.

8411990400 is a gapful number since it is divisible by the number (80) 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 8411990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211398400).

8411990400 is an abundant number, since it is smaller than the sum of its proper divisors (26010806400).

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

8411990400 is a wasteful number, since it uses less digits than its factorization.

8411990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8411990400 is about 91716.9035674450. The cubic root of 8411990400 is about 2033.7594759139.

The spelling of 8411990400 in words is "eight billion, four hundred eleven million, nine hundred ninety thousand, four hundred".