10733990400 has 1440 divisors, whose sum is σ = 49868058240. Its totient is φ = 2229534720.

The previous prime is 10733990357. The next prime is 10733990411. The reversal of 10733990400 is 409933701.

10733990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370137586 + ... + 370137614.

It is an arithmetic number, because the mean of its divisors is an integer number (34630596).

Almost surely, 2^10733990400 is an apocalyptic number.

10733990400 is a gapful number since it is divisible by the number (10) 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 10733990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

10733990400 is an abundant number, since it is smaller than the sum of its proper divisors (39134067840).

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

10733990400 is an equidigital number, since it uses as much as digits as its factorization.

10733990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 10733990400 in words is "ten billion, seven hundred thirty-three million, nine hundred ninety thousand, four hundred".