10369840216320 has 2160 divisors, whose sum is σ = 43953898931712. Its totient is φ = 2322856673280.

The previous prime is 10369840216301. The next prime is 10369840216381. The reversal of 10369840216320 is 2361204896301.

10369840216320 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 9 + 8 + 4 + 0 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×10369840216320² (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9234051279 + ... + 9234052401.

Almost surely, 2^{10369840216320} is an apocalyptic number.

10369840216320 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 10369840216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976949465856).

10369840216320 is an abundant number, since it is smaller than the sum of its proper divisors (33584058715392).

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

10369840216320 is a wasteful number, since it uses less digits than its factorization.

10369840216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10369840216320 in words is "ten trillion, three hundred sixty-nine billion, eight hundred forty million, two hundred sixteen thousand, three hundred twenty".