4475790950400 has 2592 divisors, whose sum is σ = 21013785531648. Its totient is φ = 917294284800.

The previous prime is 4475790950377. The next prime is 4475790950401. The reversal of 4475790950400 is 40590975744.

4475790950400 is a `hidden beast` number, since 4 + 47 + 5 + 7 + 90 + 9 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4475790950401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61312204764 + ... + 61312204836.

It is an arithmetic number, because the mean of its divisors is an integer number (8107170344).

Almost surely, 2^{4475790950400} is an apocalyptic number.

4475790950400 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 4475790950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506892765824).

4475790950400 is an abundant number, since it is smaller than the sum of its proper divisors (16537994581248).

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

4475790950400 is an frugal number, since it uses more digits than its factorization.

4475790950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4475790950400 in words is "four trillion, four hundred seventy-five billion, seven hundred ninety million, nine hundred fifty thousand, four hundred".