4015663734144 has 64 divisors (see below), whose sum is σ = 10668766279680. Its totient is φ = 1338283584000.

The previous prime is 4015663734119. The next prime is 4015663734179. The reversal of 4015663734144 is 4414373665104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4015663734144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4015663734093 and 4015663734102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845089 + ... + 2957279.

It is an arithmetic number, because the mean of its divisors is an integer number (166699473120).

Almost surely, 2^{4015663734144} is an apocalyptic number.

It is an amenable number.

4015663734144 is an abundant number, since it is smaller than the sum of its proper divisors (6653102545536).

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

4015663734144 is a wasteful number, since it uses less digits than its factorization.

4015663734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117159 (or 2117147 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 4015663734144 in words is "four trillion, fifteen billion, six hundred sixty-three million, seven hundred thirty-four thousand, one hundred forty-four".