31445454240 has 144 divisors (see below), whose sum is σ = 107377445448. Its totient is φ = 8379998208.

The previous prime is 31445454197. The next prime is 31445454247. The reversal of 31445454240 is 4245454413.

31445454240 is a `hidden beast` number, since 31 + 4 + 4 + 545 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21542019984 + 9903434256 = 146772^2 + 99516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31445454195 and 31445454204.

It is not an unprimeable number, because it can be changed into a prime (31445454247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2518092 + ... + 2530548.

Almost surely, 2^31445454240 is an apocalyptic number.

31445454240 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 31445454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53688722724).

31445454240 is an abundant number, since it is smaller than the sum of its proper divisors (75931991208).

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

31445454240 is a wasteful number, since it uses less digits than its factorization.

31445454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 31445454240 in words is "thirty-one billion, four hundred forty-five million, four hundred fifty-four thousand, two hundred forty".