4034400960 has 56 divisors (see below), whose sum is σ = 12809226096. Its totient is φ = 1075840000.

The previous prime is 4034400959. The next prime is 4034400961. The reversal of 4034400960 is 690044304.

It is an interprime number because it is at equal distance from previous prime (4034400959) and next prime (4034400961).

It is a super-3 number, since 3×4034400960³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4034400961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100291 + ... + 2102210.

Almost surely, 2^4034400960 is an apocalyptic number.

4034400960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034400960 is an abundant number, since it is smaller than the sum of its proper divisors (8774825136).

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

4034400960 is a wasteful number, since it uses less digits than its factorization.

4034400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202521 (or 4202511 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4034400960 is about 63516.9344348419. The cubic root of 4034400960 is about 1591.9387449812.

The spelling of 4034400960 in words is "four billion, thirty-four million, four hundred thousand, nine hundred sixty".