221761743840 has 1152 divisors, whose sum is σ = 988772520960. Its totient is φ = 45202821120.

The previous prime is 221761743829. The next prime is 221761743869. The reversal of 221761743840 is 48347167122.

221761743840 is a `hidden beast` number, since 2 + 2 + 176 + 1 + 7 + 438 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 377788027 + ... + 377788613.

It is an arithmetic number, because the mean of its divisors is an integer number (858309480).

Almost surely, 2^221761743840 is an apocalyptic number.

221761743840 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 221761743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494386260480).

221761743840 is an abundant number, since it is smaller than the sum of its proper divisors (767010777120).

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

221761743840 is a wasteful number, since it uses less digits than its factorization.

221761743840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 221761743840 in words is "two hundred twenty-one billion, seven hundred sixty-one million, seven hundred forty-three thousand, eight hundred forty".