21772333440 has 1152 divisors, whose sum is σ = 93328653600. Its totient is φ = 4817387520.

The previous prime is 21772333369. The next prime is 21772333463. The reversal of 21772333440 is 4433327712.

21772333440 is a `hidden beast` number, since 217 + 72 + 3 + 334 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 21772333395 and 21772333404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244632916 + ... + 244633004.

Almost surely, 2^21772333440 is an apocalyptic number.

21772333440 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 21772333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46664326800).

21772333440 is an abundant number, since it is smaller than the sum of its proper divisors (71556320160).

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

21772333440 is a wasteful number, since it uses less digits than its factorization.

21772333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 21772333440 in words is "twenty-one billion, seven hundred seventy-two million, three hundred thirty-three thousand, four hundred forty".