1114224906240 has 624 divisors, whose sum is σ = 4061408140608. Its totient is φ = 292960862208.

The previous prime is 1114224906217. The next prime is 1114224906257. The reversal of 1114224906240 is 426094224111.

1114224906240 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 24 + 9 + 0 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1114224906195 and 1114224906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363293187 + ... + 363296253.

It is an arithmetic number, because the mean of its divisors is an integer number (6508666892).

Almost surely, 2^{1114224906240} is an apocalyptic number.

1114224906240 is a gapful number since it is divisible by the number (10) 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 1114224906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030704070304).

1114224906240 is an abundant number, since it is smaller than the sum of its proper divisors (2947183234368).

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

1114224906240 is an frugal number, since it uses more digits than its factorization.

1114224906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1114224906240 in words is "one trillion, one hundred fourteen billion, two hundred twenty-four million, nine hundred six thousand, two hundred forty".