4101734664 has 24 divisors (see below), whose sum is σ = 11108864910. Its totient is φ = 1367244864.

The previous prime is 4101734657. The next prime is 4101734671. The reversal of 4101734664 is 4664371014.

It is an interprime number because it is at equal distance from previous prime (4101734657) and next prime (4101734671).

It can be written as a sum of positive squares in only one way, i.e., 2279298564 + 1822436100 = 47742^2 + 42690^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×4101734664³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28484197 + ... + 28484340.

Almost surely, 2^4101734664 is an apocalyptic number.

It is an amenable number.

4101734664 is an abundant number, since it is smaller than the sum of its proper divisors (7007130246).

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

4101734664 is a wasteful number, since it uses less digits than its factorization.

4101734664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56968549 (or 56968542 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4101734664 is about 64044.7863920241. The cubic root of 4101734664 is about 1600.7463528359.

The spelling of 4101734664 in words is "four billion, one hundred one million, seven hundred thirty-four thousand, six hundred sixty-four".