10165444429140 has 960 divisors, whose sum is σ = 42872532595200. Its totient is φ = 1947264675840.

The previous prime is 10165444429117. The next prime is 10165444429177. The reversal of 10165444429140 is 4192444456101.

10165444429140 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 544 + 44 + 29 + 1 + 40 = 666.

10165444429140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10165444429140² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1383238186 + ... + 1383245534.

It is an arithmetic number, because the mean of its divisors is an integer number (44658888120).

Almost surely, 2^{10165444429140} is an apocalyptic number.

10165444429140 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 10165444429140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436266297600).

10165444429140 is an abundant number, since it is smaller than the sum of its proper divisors (32707088166060).

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

10165444429140 is a wasteful number, since it uses less digits than its factorization.

10165444429140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10165444429140 in words is "ten trillion, one hundred sixty-five billion, four hundred forty-four million, four hundred twenty-nine thousand, one hundred forty".