4965294400 has 168 divisors, whose sum is σ = 13582461024. Its totient is φ = 1771161600.

The previous prime is 4965294391. The next prime is 4965294401. The reversal of 4965294400 is 44925694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965294401) 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, 930139 + ... + 935461.

Almost surely, 2^4965294400 is an apocalyptic number.

4965294400 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 4965294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791230512).

4965294400 is an abundant number, since it is smaller than the sum of its proper divisors (8617166624).

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

4965294400 is a wasteful number, since it uses less digits than its factorization.

4965294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 4965294400 is about 70464.8451357129. The cubic root of 4965294400 is about 1706.0103745566.

It can be divided in two parts, 4965294 and 400, that added together give a palindrome (4965694).

The spelling of 4965294400 in words is "four billion, nine hundred sixty-five million, two hundred ninety-four thousand, four hundred".