10349539771740 has 192 divisors, whose sum is σ = 31483343270400. Its totient is φ = 2525148711936.

The previous prime is 10349539771657. The next prime is 10349539771759. The reversal of 10349539771740 is 4717793594301.

It is a happy number.

It is a super-2 number, since 2×10349539771740² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 67034874 + ... + 67189086.

It is an arithmetic number, because the mean of its divisors is an integer number (163975746200).

Almost surely, 2^{10349539771740} is an apocalyptic number.

10349539771740 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 10349539771740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15741671635200).

10349539771740 is an abundant number, since it is smaller than the sum of its proper divisors (21133803498660).

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

10349539771740 is a wasteful number, since it uses less digits than its factorization.

10349539771740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154996 (or 154994 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 10349539771740 in words is "ten trillion, three hundred forty-nine billion, five hundred thirty-nine million, seven hundred seventy-one thousand, seven hundred forty".