4675495406400 has 3024 divisors, whose sum is σ = 22185612321600. Its totient is φ = 923027374080.

The previous prime is 4675495406311. The next prime is 4675495406437. The reversal of 4675495406400 is 46045945764.

4675495406400 is a `hidden beast` number, since 4 + 6 + 7 + 54 + 9 + 540 + 6 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 24225364704 + ... + 24225364896.

Almost surely, 2^{4675495406400} is an apocalyptic number.

4675495406400 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 4675495406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092806160800).

4675495406400 is an abundant number, since it is smaller than the sum of its proper divisors (17510116915200).

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

4675495406400 is a wasteful number, since it uses less digits than its factorization.

4675495406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4675495406400 in words is "four trillion, six hundred seventy-five billion, four hundred ninety-five million, four hundred six thousand, four hundred".