31477350400000 has 864 divisors, whose sum is σ = 84666769979904. Its totient is φ = 11678515200000.

The previous prime is 31477350399919. The next prime is 31477350400007. The reversal of 31477350400000 is 405377413.

It is a super-3 number, since 3×31477350400000³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (31477350400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469811199967 + ... + 469811200033.

It is an arithmetic number, because the mean of its divisors is an integer number (97993946736).

Almost surely, 2^{31477350400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31477350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333384989952).

31477350400000 is an abundant number, since it is smaller than the sum of its proper divisors (53189419579904).

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

31477350400000 is an frugal number, since it uses more digits than its factorization.

31477350400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

Adding to 31477350400000 its reverse (405377413), we get a palindrome (31477755777413).

The spelling of 31477350400000 in words is "thirty-one trillion, four hundred seventy-seven billion, three hundred fifty million, four hundred thousand".