11234084400 has 1440 divisors, whose sum is σ = 53729894400. Its totient is φ = 2183500800.

The previous prime is 11234084353. The next prime is 11234084471. The reversal of 11234084400 is 448043211.

11234084400 = 201³ + 202³ + ... + 464³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142203561 + ... + 142203639.

Almost surely, 2^11234084400 is an apocalyptic number.

11234084400 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 11234084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26864947200).

11234084400 is an abundant number, since it is smaller than the sum of its proper divisors (42495810000).

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

11234084400 is a wasteful number, since it uses less digits than its factorization.

11234084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11234084400 in words is "eleven billion, two hundred thirty-four million, eighty-four thousand, four hundred".