4932205440 has 256 divisors, whose sum is σ = 16867699200. Its totient is φ = 1222041600.

The previous prime is 4932205423. The next prime is 4932205441. The reversal of 4932205440 is 445022394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932205441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932165 + ... + 1934715.

It is an arithmetic number, because the mean of its divisors is an integer number (65889450).

Almost surely, 2^4932205440 is an apocalyptic number.

4932205440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4932205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433849600).

4932205440 is an abundant number, since it is smaller than the sum of its proper divisors (11935493760).

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

4932205440 is a wasteful number, since it uses less digits than its factorization.

4932205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4932205440 is about 70229.6621093965. The cubic root of 4932205440 is about 1702.2122801427.

The spelling of 4932205440 in words is "four billion, nine hundred thirty-two million, two hundred five thousand, four hundred forty".