13822452671040 has 1344 divisors, whose sum is σ = 55087015576320. Its totient is φ = 3276818841600.

The previous prime is 13822452671011. The next prime is 13822452671117. The reversal of 13822452671040 is 4017625422831.

13822452671040 is a `hidden beast` number, since 1 + 3 + 82 + 2 + 4 + 526 + 7 + 1 + 0 + 40 = 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 191 ways as a sum of consecutive naturals, for example, 3777656731 + ... + 3777660389.

It is an arithmetic number, because the mean of its divisors is an integer number (40987362780).

Almost surely, 2^{13822452671040} is an apocalyptic number.

13822452671040 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 13822452671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27543507788160).

13822452671040 is an abundant number, since it is smaller than the sum of its proper divisors (41264562905280).

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

13822452671040 is a wasteful number, since it uses less digits than its factorization.

13822452671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13822452671040 in words is "thirteen trillion, eight hundred twenty-two billion, four hundred fifty-two million, six hundred seventy-one thousand, forty".