4133515440 has 80 divisors (see below), whose sum is σ = 12931538400. Its totient is φ = 1092151296.

The previous prime is 4133515433. The next prime is 4133515457. The reversal of 4133515440 is 445153314.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 4133515398 and 4133515407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52845 + ... + 105164.

It is an arithmetic number, because the mean of its divisors is an integer number (161644230).

Almost surely, 2^4133515440 is an apocalyptic number.

4133515440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133515440 is an abundant number, since it is smaller than the sum of its proper divisors (8798022960).

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

4133515440 is a wasteful number, since it uses less digits than its factorization.

4133515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158134 (or 158128 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4133515440 is about 64292.4213263119. The cubic root of 4133515440 is about 1604.8699849070.

Adding to 4133515440 its reverse (445153314), we get a palindrome (4578668754).

The spelling of 4133515440 in words is "four billion, one hundred thirty-three million, five hundred fifteen thousand, four hundred forty".