10145355066440 has 48 divisors (see below), whose sum is σ = 25090888471740. Its totient is φ = 3689220022400.

The previous prime is 10145355066419. The next prime is 10145355066541. The reversal of 10145355066440 is 4466055354101.

It can be written as a sum of positive squares in 2 ways, for example, as 9945962453284 + 199392613156 = 3153722^2 + 446534^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10145355066391 and 10145355066400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048069031 + ... + 1048078710.

Almost surely, 2^{10145355066440} is an apocalyptic number.

10145355066440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145355066440 is an abundant number, since it is smaller than the sum of its proper divisors (14945533405300).

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

10145355066440 is a wasteful number, since it uses less digits than its factorization.

10145355066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096147774 (or 2096147759 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 10145355066440 in words is "ten trillion, one hundred forty-five billion, three hundred fifty-five million, sixty-six thousand, four hundred forty".