10414222678080 has 896 divisors, whose sum is σ = 40206992179200. Its totient is φ = 2522147217408.

The previous prime is 10414222678039. The next prime is 10414222678091. The reversal of 10414222678080 is 8087622241401.

10414222678080 is a `hidden beast` number, since 1 + 0 + 414 + 2 + 22 + 67 + 80 + 80 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2724095049 + ... + 2724098871.

It is an arithmetic number, because the mean of its divisors is an integer number (44873875200).

Almost surely, 2^{10414222678080} is an apocalyptic number.

10414222678080 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 10414222678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103496089600).

10414222678080 is an abundant number, since it is smaller than the sum of its proper divisors (29792769501120).

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

10414222678080 is a wasteful number, since it uses less digits than its factorization.

10414222678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10414222678080 in words is "ten trillion, four hundred fourteen billion, two hundred twenty-two million, six hundred seventy-eight thousand, eighty".