4132051440 has 80 divisors (see below), whose sum is σ = 13973855616. Its totient is φ = 1001708800.

The previous prime is 4132051439. The next prime is 4132051447. The reversal of 4132051440 is 441502314.

4132051440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×4132051440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4132051440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132051447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779946 + ... + 785225.

Almost surely, 2^4132051440 is an apocalyptic number.

4132051440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132051440 is an abundant number, since it is smaller than the sum of its proper divisors (9841804176).

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

4132051440 is a wasteful number, since it uses less digits than its factorization.

4132051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565198 (or 1565192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4132051440 is about 64281.0348392121. The cubic root of 4132051440 is about 1604.6804926833.

Adding to 4132051440 its reverse (441502314), we get a palindrome (4573553754).

The spelling of 4132051440 in words is "four billion, one hundred thirty-two million, fifty-one thousand, four hundred forty".