31350412800 has 480 divisors, whose sum is σ = 131520153600. Its totient is φ = 7165255680.

The previous prime is 31350412789. The next prime is 31350412801. The reversal of 31350412800 is 821405313.

It is a happy number.

31350412800 is a `hidden beast` number, since 31 + 3 + 504 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31350412801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412721 + ... + 2425679.

It is an arithmetic number, because the mean of its divisors is an integer number (274000320).

Almost surely, 2^31350412800 is an apocalyptic number.

31350412800 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 31350412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65760076800).

31350412800 is an abundant number, since it is smaller than the sum of its proper divisors (100169740800).

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

31350412800 is a wasteful number, since it uses less digits than its factorization.

31350412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31350412800 in words is "thirty-one billion, three hundred fifty million, four hundred twelve thousand, eight hundred".