461601032501400 has 384 divisors, whose sum is σ = 1574749664928000. Its totient is φ = 110923675033600.

The previous prime is 461601032501341. The next prime is 461601032501443. The reversal of 461601032501400 is 4105230106164.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617194876 + ... + 617942324.

It is an arithmetic number, because the mean of its divisors is an integer number (4100910585750).

Almost surely, 2^{461601032501400} is an apocalyptic number.

461601032501400 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 461601032501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787374832464000).

461601032501400 is an abundant number, since it is smaller than the sum of its proper divisors (1113148632426600).

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

461601032501400 is a wasteful number, since it uses less digits than its factorization.

461601032501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748299 (or 748290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 461601032501400 its reverse (4105230106164), we get a palindrome (465706262607564).

The spelling of 461601032501400 in words is "four hundred sixty-one trillion, six hundred one billion, thirty-two million, five hundred one thousand, four hundred".