461635520321400 has 192 divisors, whose sum is σ = 1440732023856000. Its totient is φ = 122271739200000.

The previous prime is 461635520321377. The next prime is 461635520321411. The reversal of 461635520321400 is 4123025536164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2614951135 + ... + 2615127665.

It is an arithmetic number, because the mean of its divisors is an integer number (7503812624250).

Almost surely, 2^{461635520321400} is an apocalyptic number.

461635520321400 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 461635520321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720366011928000).

461635520321400 is an abundant number, since it is smaller than the sum of its proper divisors (979096503534600).

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

461635520321400 is a wasteful number, since it uses less digits than its factorization.

461635520321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205950 (or 205941 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 461635520321400 its reverse (4123025536164), we get a palindrome (465758545857564).

The spelling of 461635520321400 in words is "four hundred sixty-one trillion, six hundred thirty-five billion, five hundred twenty million, three hundred twenty-one thousand, four hundred".