31401220031400 has 192 divisors, whose sum is σ = 99751092396480. Its totient is φ = 8166713702400.

The previous prime is 31401220031333. The next prime is 31401220031417. The reversal of 31401220031400 is 413002210413.

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, 74500047 + ... + 74920353.

It is an arithmetic number, because the mean of its divisors is an integer number (519536939565).

Almost surely, 2^{31401220031400} is an apocalyptic number.

31401220031400 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 31401220031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875546198240).

31401220031400 is an abundant number, since it is smaller than the sum of its proper divisors (68349872365080).

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

31401220031400 is a wasteful number, since it uses less digits than its factorization.

31401220031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423404 (or 423395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31401220031400 its reverse (413002210413), we get a palindrome (31814222241813).

The spelling of 31401220031400 in words is "thirty-one trillion, four hundred one billion, two hundred twenty million, thirty-one thousand, four hundred".