4961282400 has 504 divisors, whose sum is σ = 18648118944. Its totient is φ = 1287705600.

The previous prime is 4961282309. The next prime is 4961282419. The reversal of 4961282400 is 42821694.

4961282400 is a `hidden beast` number, since 496 + 128 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×4961282400² = 49228646105099520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27410310 + ... + 27410490.

It is an arithmetic number, because the mean of its divisors is an integer number (37000236).

Almost surely, 2^4961282400 is an apocalyptic number.

4961282400 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 4961282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324059472).

4961282400 is an abundant number, since it is smaller than the sum of its proper divisors (13686836544).

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

4961282400 is a wasteful number, since it uses less digits than its factorization.

4961282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4961282400 is about 70436.3712864313. The cubic root of 4961282400 is about 1705.5507604583.

The spelling of 4961282400 in words is "four billion, nine hundred sixty-one million, two hundred eighty-two thousand, four hundred".