211496405400 has 384 divisors, whose sum is σ = 834339456000. Its totient is φ = 48238571520.

The previous prime is 211496405371. The next prime is 211496405443. The reversal of 211496405400 is 4504694112.

211496405400 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 9 + 640 + 5 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×211496405400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 18402856 + ... + 18414344.

It is an arithmetic number, because the mean of its divisors is an integer number (2172759000).

Almost surely, 2^211496405400 is an apocalyptic number.

211496405400 is a gapful number since it is divisible by the number (20) 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 211496405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417169728000).

211496405400 is an abundant number, since it is smaller than the sum of its proper divisors (622843050600).

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

211496405400 is a wasteful number, since it uses less digits than its factorization.

211496405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 211496405400 in words is "two hundred eleven billion, four hundred ninety-six million, four hundred five thousand, four hundred".