4392640000 has 400 divisors, whose sum is σ = 13115776608. Its totient is φ = 1437696000.

The previous prime is 4392639983. The next prime is 4392640003. The reversal of 4392640000 is 462934.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4392640003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82879974 + ... + 82880026.

Almost surely, 2^4392640000 is an apocalyptic number.

4392640000 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 4392640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557888304).

4392640000 is an abundant number, since it is smaller than the sum of its proper divisors (8723136608).

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

4392640000 is an frugal number, since it uses more digits than its factorization.

4392640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 4392640000 is about 66276.9945003543. The cubic root of 4392640000 is about 1637.7283639323.

The spelling of 4392640000 in words is "four billion, three hundred ninety-two million, six hundred forty thousand".