475440133711400 has 384 divisors, whose sum is σ = 1309744389744000. Its totient is φ = 159544180224000.

The previous prime is 475440133711357. The next prime is 475440133711409. The reversal of 475440133711400 is 4117331044574.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (475440133711409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14011952435 + ... + 14011986365.

It is an arithmetic number, because the mean of its divisors is an integer number (3410792681625).

Almost surely, 2^{475440133711400} is an apocalyptic number.

475440133711400 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 475440133711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654872194872000).

475440133711400 is an abundant number, since it is smaller than the sum of its proper divisors (834304256032600).

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

475440133711400 is a wasteful number, since it uses less digits than its factorization.

475440133711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38042 (or 38011 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

Adding to 475440133711400 its reverse (4117331044574), we get a palindrome (479557464755974).

The spelling of 475440133711400 in words is "four hundred seventy-five trillion, four hundred forty billion, one hundred thirty-three million, seven hundred eleven thousand, four hundred".