221976077400 has 1152 divisors, whose sum is σ = 1006135603200. Its totient is φ = 44102361600.

The previous prime is 221976077399. The next prime is 221976077441. The reversal of 221976077400 is 4770679122.

221976077400 is a `hidden beast` number, since 22 + 19 + 7 + 607 + 7 + 4 + 0 + 0 = 666.

221976077400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86069311 + ... + 86071889.

It is an arithmetic number, because the mean of its divisors is an integer number (873381600).

Almost surely, 2^221976077400 is an apocalyptic number.

221976077400 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 221976077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503067801600).

221976077400 is an abundant number, since it is smaller than the sum of its proper divisors (784159525800).

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

221976077400 is a wasteful number, since it uses less digits than its factorization.

221976077400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 221976077400 in words is "two hundred twenty-one billion, nine hundred seventy-six million, seventy-seven thousand, four hundred".