2145111735440 has 40 divisors (see below), whose sum is σ = 4989154512960. Its totient is φ = 857740224896.

The previous prime is 2145111735439. The next prime is 2145111735449. The reversal of 2145111735440 is 445371115412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2145111735394 and 2145111735403.

It is not an unprimeable number, because it can be changed into a prime (2145111735449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4530404 + ... + 4981443.

It is an arithmetic number, because the mean of its divisors is an integer number (124728862824).

Almost surely, 2^{2145111735440} is an apocalyptic number.

2145111735440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145111735440 is an abundant number, since it is smaller than the sum of its proper divisors (2844042777520).

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

2145111735440 is a wasteful number, since it uses less digits than its factorization.

2145111735440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514679 (or 9514673 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 2145111735440 in words is "two trillion, one hundred forty-five billion, one hundred eleven million, seven hundred thirty-five thousand, four hundred forty".