31034410400000 has 432 divisors, whose sum is σ = 89275822731648. Its totient is φ = 10545991680000.

The previous prime is 31034410399991. The next prime is 31034410400003. The reversal of 31034410400000 is 401443013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31034410400003) 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, 632775479 + ... + 632824521.

It is an arithmetic number, because the mean of its divisors is an integer number (206656997064).

Almost surely, 2^{31034410400000} 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 31034410400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44637911365824).

31034410400000 is an abundant number, since it is smaller than the sum of its proper divisors (58241412331648).

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

31034410400000 is an frugal number, since it uses more digits than its factorization.

31034410400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49204 (or 49170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31034410400000 its reverse (401443013), we get a palindrome (31034811843013).

The spelling of 31034410400000 in words is "thirty-one trillion, thirty-four billion, four hundred ten million, four hundred thousand".