465212163140400 has 960 divisors, whose sum is σ = 1792225465228800. Its totient is φ = 101903989800960.

The previous prime is 465212163140327. The next prime is 465212163140407. The reversal of 465212163140400 is 4041361212564.

It is a super-2 number, since 2×465212163140400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (465212163140407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2564658507 + ... + 2564839893.

It is an arithmetic number, because the mean of its divisors is an integer number (1866901526280).

Almost surely, 2^{465212163140400} is an apocalyptic number.

465212163140400 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 465212163140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112732614400).

465212163140400 is an abundant number, since it is smaller than the sum of its proper divisors (1327013302088400).

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

465212163140400 is a wasteful number, since it uses less digits than its factorization.

465212163140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181966 (or 181955 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 465212163140400 in words is "four hundred sixty-five trillion, two hundred twelve billion, one hundred sixty-three million, one hundred forty thousand, four hundred".