4973400432 has 960 divisors, whose sum is σ = 20518686720. Its totient is φ = 1132185600.

The previous prime is 4973400427. The next prime is 4973400437. The reversal of 4973400432 is 2340043794.

It is an interprime number because it is at equal distance from previous prime (4973400427) and next prime (4973400437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973400437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93837718 + ... + 93837770.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 2^4973400432 is an apocalyptic number.

4973400432 is a gapful number since it is divisible by the number (42) 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 4973400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259343360).

4973400432 is an abundant number, since it is smaller than the sum of its proper divisors (15545286288).

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

4973400432 is a wasteful number, since it uses less digits than its factorization.

4973400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4973400432 is about 70522.3399498343. The cubic root of 4973400432 is about 1706.9382454239.

The spelling of 4973400432 in words is "four billion, nine hundred seventy-three million, four hundred thousand, four hundred thirty-two".