4956140400 has 120 divisors (see below), whose sum is σ = 15894232704. Its totient is φ = 1320134400.

The previous prime is 4956140377. The next prime is 4956140429. The reversal of 4956140400 is 40416594.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403437 + ... + 1406963.

Almost surely, 2^4956140400 is an apocalyptic number.

4956140400 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 4956140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947116352).

4956140400 is an abundant number, since it is smaller than the sum of its proper divisors (10938092304).

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

4956140400 is a wasteful number, since it uses less digits than its factorization.

4956140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4956140400 is about 70399.8607953169. The cubic root of 4956140400 is about 1704.9613312982.

Adding to 4956140400 its reverse (40416594), we get a palindrome (4996556994).

The spelling of 4956140400 in words is "four billion, nine hundred fifty-six million, one hundred forty thousand, four hundred".