10949990400 has 432 divisors, whose sum is σ = 40678255800. Its totient is φ = 2887188480.

The previous prime is 10949990371. The next prime is 10949990477. The reversal of 10949990400 is 409994901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

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 35 ways as a sum of consecutive naturals, for example, 123033556 + ... + 123033644.

Almost surely, 2^10949990400 is an apocalyptic number.

10949990400 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 10949990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339127900).

10949990400 is an abundant number, since it is smaller than the sum of its proper divisors (29728265400).

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

10949990400 is an frugal number, since it uses more digits than its factorization.

10949990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10949990400 in words is "ten billion, nine hundred forty-nine million, nine hundred ninety thousand, four hundred".