4001516430634 has 32 divisors (see below), whose sum is σ = 6034525430400. Its totient is φ = 1990042629120.

The previous prime is 4001516430631. The next prime is 4001516430707. The reversal of 4001516430634 is 4360346151004.

It is a junction number, because it is equal to n+sod(n) for n = 4001516430593 and 4001516430602.

It is not an unprimeable number, because it can be changed into a prime (4001516430631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768190222 + ... + 768195430.

It is an arithmetic number, because the mean of its divisors is an integer number (188578919700).

Almost surely, 2^{4001516430634} is an apocalyptic number.

4001516430634 is a deficient number, since it is larger than the sum of its proper divisors (2033008999766).

4001516430634 is a wasteful number, since it uses less digits than its factorization.

4001516430634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158.

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 4001516430634 in words is "four trillion, one billion, five hundred sixteen million, four hundred thirty thousand, six hundred thirty-four".