10228667070240 has 192 divisors, whose sum is σ = 36673514277120. Its totient is φ = 2661116590080.

The previous prime is 10228667070187. The next prime is 10228667070257. The reversal of 10228667070240 is 4207076682201.

It is a happy number.

10228667070240 is a `hidden beast` number, since 1 + 0 + 2 + 286 + 67 + 0 + 70 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28697844 + ... + 29052083.

It is an arithmetic number, because the mean of its divisors is an integer number (191007886860).

Almost surely, 2^{10228667070240} is an apocalyptic number.

10228667070240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10228667070240 is an abundant number, since it is smaller than the sum of its proper divisors (26444847206880).

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

10228667070240 is a wasteful number, since it uses less digits than its factorization.

10228667070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57749992 (or 57749978 counting only the distinct ones).

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

The spelling of 10228667070240 in words is "ten trillion, two hundred twenty-eight billion, six hundred sixty-seven million, seventy thousand, two hundred forty".