31341430220400 has 180 divisors, whose sum is σ = 108827733022008. Its totient is φ = 8352776471040.

The previous prime is 31341430220389. The next prime is 31341430220423. The reversal of 31341430220400 is 402203414313.

31341430220400 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 1 + 4 + 30 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3523639 + ... + 8665961.

Almost surely, 2^{31341430220400} is an apocalyptic number.

31341430220400 is a gapful number since it is divisible by the number (30) 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 31341430220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54413866511004).

31341430220400 is an abundant number, since it is smaller than the sum of its proper divisors (77486302801608).

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

31341430220400 is a wasteful number, since it uses less digits than its factorization.

31341430220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144040 (or 5144026 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31341430220400 its reverse (402203414313), we get a palindrome (31743633634713).

The spelling of 31341430220400 in words is "thirty-one trillion, three hundred forty-one billion, four hundred thirty million, two hundred twenty thousand, four hundred".