40284942149764 has 81 divisors (see below), whose sum is σ = 77133999521901. Its totient is φ = 18401344166400.

The previous prime is 40284942149759. The next prime is 40284942149791. The reversal of 40284942149764 is 46794124948204.

The square root of 40284942149764 is 6347042.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 42666207364 + 40242275942400 = 206558^2 + 6343680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40284942149696 and 40284942149705.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16667331084 + ... + 16667333500.

Almost surely, 2^{40284942149764} is an apocalyptic number.

40284942149764 is the 6347042-nd square number.

It is an amenable number.

40284942149764 is a deficient number, since it is larger than the sum of its proper divisors (36849057372137).

40284942149764 is an equidigital number, since it uses as much as digits as its factorization.

40284942149764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

The spelling of 40284942149764 in words is "forty trillion, two hundred eighty-four billion, nine hundred forty-two million, one hundred forty-nine thousand, seven hundred sixty-four".