31146042240 has 320 divisors, whose sum is σ = 114822069120. Its totient is φ = 8037273600.

The previous prime is 31146042211. The next prime is 31146042241. The reversal of 31146042240 is 4224064113.

It is a happy number.

31146042240 is a `hidden beast` number, since 3 + 1 + 14 + 604 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (31146042241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1597350 + ... + 1616730.

It is an arithmetic number, because the mean of its divisors is an integer number (358818966).

Almost surely, 2^31146042240 is an apocalyptic number.

31146042240 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 31146042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57411034560).

31146042240 is an abundant number, since it is smaller than the sum of its proper divisors (83676026880).

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

31146042240 is a wasteful number, since it uses less digits than its factorization.

31146042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19443 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 31146042240 in words is "thirty-one billion, one hundred forty-six million, forty-two thousand, two hundred forty".