4975400409210 has 320 divisors, whose sum is σ = 17130241117440. Its totient is φ = 1005907092480.

The previous prime is 4975400409193. The next prime is 4975400409241. The reversal of 4975400409210 is 129040045794.

4975400409210 is a `hidden beast` number, since 4 + 9 + 7 + 540 + 0 + 4 + 0 + 92 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1229686 + ... + 3385694.

It is an arithmetic number, because the mean of its divisors is an integer number (53532003492).

Almost surely, 2^{4975400409210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4975400409210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565120558720).

4975400409210 is an abundant number, since it is smaller than the sum of its proper divisors (12154840708230).

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

4975400409210 is a wasteful number, since it uses less digits than its factorization.

4975400409210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156083 (or 2156074 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4975400409210 in words is "four trillion, nine hundred seventy-five billion, four hundred million, four hundred nine thousand, two hundred ten".