31074140160 has 720 divisors, whose sum is σ = 128241125376. Its totient is φ = 7070810112.

The previous prime is 31074140131. The next prime is 31074140161. The reversal of 31074140160 is 6104147013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 (31074140161) 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, 139345809 + ... + 139346031.

Almost surely, 2^31074140160 is an apocalyptic number.

31074140160 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 31074140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64120562688).

31074140160 is an abundant number, since it is smaller than the sum of its proper divisors (97166985216).

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

31074140160 is an frugal number, since it uses more digits than its factorization.

31074140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 31074140160 its reverse (6104147013), we get a palindrome (37178287173).

The spelling of 31074140160 in words is "thirty-one billion, seventy-four million, one hundred forty thousand, one hundred sixty".