4001416106344 has 32 divisors (see below), whose sum is σ = 7810802980200. Its totient is φ = 1919414165760.

The previous prime is 4001416106333. The next prime is 4001416106399. The reversal of 4001416106344 is 4436016141004.

It can be written as a sum of positive squares in 4 ways, for example, as 3646045129444 + 355370976900 = 1909462^2 + 596130^2 .

It is a super-2 number, since 2×4001416106344² (a number of 26 digits) contains 22 as substring.

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, 54891867 + ... + 54964714.

Almost surely, 2^{4001416106344} is an apocalyptic number.

It is an amenable number.

4001416106344 is a deficient number, since it is larger than the sum of its proper divisors (3809386873856).

4001416106344 is a wasteful number, since it uses less digits than its factorization.

4001416106344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109856773 (or 109856769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 4001416106344 in words is "four trillion, one billion, four hundred sixteen million, one hundred six thousand, three hundred forty-four".