10169749283040 has 1152 divisors, whose sum is σ = 38445626419200. Its totient is φ = 2441226977280.

The previous prime is 10169749283039. The next prime is 10169749283059. The reversal of 10169749283040 is 4038294796101.

10169749283040 is a `hidden beast` number, since 10 + 1 + 69 + 7 + 492 + 83 + 0 + 4 + 0 = 666.

It is a congruent number.

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, 3460273891 + ... + 3460276829.

It is an arithmetic number, because the mean of its divisors is an integer number (33372939600).

Almost surely, 2^{10169749283040} is an apocalyptic number.

10169749283040 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 10169749283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19222813209600).

10169749283040 is an abundant number, since it is smaller than the sum of its proper divisors (28275877136160).

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

10169749283040 is a wasteful number, since it uses less digits than its factorization.

10169749283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10169749283040 in words is "ten trillion, one hundred sixty-nine billion, seven hundred forty-nine million, two hundred eighty-three thousand, forty".