31401870240 has 192 divisors, whose sum is σ = 106718726016. Its totient is φ = 7715622912.

The previous prime is 31401870233. The next prime is 31401870271. The reversal of 31401870240 is 4207810413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31401870198 and 31401870207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658594 + ... + 3667166.

It is an arithmetic number, because the mean of its divisors is an integer number (555826698).

Almost surely, 2^31401870240 is an apocalyptic number.

31401870240 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 31401870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53359363008).

31401870240 is an abundant number, since it is smaller than the sum of its proper divisors (75316855776).

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

31401870240 is a wasteful number, since it uses less digits than its factorization.

31401870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 31401870240 in words is "thirty-one billion, four hundred one million, eight hundred seventy thousand, two hundred forty".