31042421401200 has 360 divisors, whose sum is σ = 109770186852144. Its totient is φ = 7493129318400.

The previous prime is 31042421401157. The next prime is 31042421401241. The reversal of 31042421401200 is 210412424013.

It is a super-2 number, since 2×31042421401200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33372822 + ... + 34290378.

Almost surely, 2^{31042421401200} is an apocalyptic number.

31042421401200 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 31042421401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885093426072).

31042421401200 is an abundant number, since it is smaller than the sum of its proper divisors (78727765450944).

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

31042421401200 is a wasteful number, since it uses less digits than its factorization.

31042421401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917833 (or 917811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31042421401200 its reverse (210412424013), we get a palindrome (31252833825213).

The spelling of 31042421401200 in words is "thirty-one trillion, forty-two billion, four hundred twenty-one million, four hundred one thousand, two hundred".