221377723013040 has 160 divisors (see below), whose sum is σ = 755927745670656. Its totient is φ = 53146284718080.

The previous prime is 221377723013023. The next prime is 221377723013071. The reversal of 221377723013040 is 40310327773122.

It is a super-4 number, since 4×221377723013040⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221377723012983 and 221377723013001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406792149 + ... + 407335988.

Almost surely, 2^{221377723013040} is an apocalyptic number.

221377723013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221377723013040 is an abundant number, since it is smaller than the sum of its proper divisors (534550022657616).

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

221377723013040 is a wasteful number, since it uses less digits than its factorization.

221377723013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814128267 (or 814128261 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 221377723013040 in words is "two hundred twenty-one trillion, three hundred seventy-seven billion, seven hundred twenty-three million, thirteen thousand, forty".