10222239515040 has 1728 divisors, whose sum is σ = 44366716517760. Its totient is φ = 2212743536640.

The previous prime is 10222239514957. The next prime is 10222239515057. The reversal of 10222239515040 is 4051593222201.

10222239515040 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 395 + 1 + 5 + 0 + 40 = 666.

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 = 10222239514986 and 10222239515004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2928167695 + ... + 2928171185.

It is an arithmetic number, because the mean of its divisors is an integer number (25675183170).

Almost surely, 2^{10222239515040} is an apocalyptic number.

10222239515040 is a gapful number since it is divisible by the number (10) 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 10222239515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183358258880).

10222239515040 is an abundant number, since it is smaller than the sum of its proper divisors (34144477002720).

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

10222239515040 is a wasteful number, since it uses less digits than its factorization.

10222239515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10222239515040 in words is "ten trillion, two hundred twenty-two billion, two hundred thirty-nine million, five hundred fifteen thousand, forty".