4740400000 has 192 divisors, whose sum is σ = 13498198560. Its totient is φ = 1624320000.

The previous prime is 4740399973. The next prime is 4740400009. The reversal of 4740400000 is 40474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799154 + ... + 2800846.

Almost surely, 2^4740400000 is an apocalyptic number.

4740400000 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 4740400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749099280).

4740400000 is an abundant number, since it is smaller than the sum of its proper divisors (8757798560).

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

4740400000 is an frugal number, since it uses more digits than its factorization.

4740400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4740400000 is about 68850.5628154193. The cubic root of 4740400000 is about 1679.8544847509.

Adding to 4740400000 its reverse (40474), we get a palindrome (4740440474).

The spelling of 4740400000 in words is "four billion, seven hundred forty million, four hundred thousand".