1014453642240 has 880 divisors, whose sum is σ = 3950944504320. Its totient is φ = 247956111360.

The previous prime is 1014453642173. The next prime is 1014453642247. The reversal of 1014453642240 is 422463544101.

1014453642240 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 5 + 3 + 642 + 2 + 4 + 0 = 666.

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 = 1014453642195 and 1014453642204.

It is not an unprimeable number, because it can be changed into a prime (1014453642247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244268004 + ... + 244272156.

It is an arithmetic number, because the mean of its divisors is an integer number (4489709664).

Almost surely, 2^{1014453642240} is an apocalyptic number.

1014453642240 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 1014453642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975472252160).

1014453642240 is an abundant number, since it is smaller than the sum of its proper divisors (2936490862080).

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

1014453642240 is a wasteful number, since it uses less digits than its factorization.

1014453642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1014453642240 in words is "one trillion, fourteen billion, four hundred fifty-three million, six hundred forty-two thousand, two hundred forty".