7442085400245 has 54 divisors (see below), whose sum is σ = 13149309606342. Its totient is φ = 3893715780864.

The previous prime is 7442085400241. The next prime is 7442085400249. The reversal of 7442085400245 is 5420045802447.

7442085400245 is a `hidden beast` number, since 7 + 44 + 20 + 8 + 540 + 0 + 2 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (7442085400241) and next prime (7442085400249).

It can be written as a sum of positive squares in 9 ways, for example, as 74427478596 + 7367657921649 = 272814^2 + 2714343^2 .

It is not a de Polignac number, because 7442085400245 - 2² = 7442085400241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7442085400245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7442085400241) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 969901729 + ... + 969909401.

Almost surely, 2^{7442085400245} is an apocalyptic number.

It is an amenable number.

7442085400245 is a deficient number, since it is larger than the sum of its proper divisors (5707224206097).

7442085400245 is an frugal number, since it uses more digits than its factorization.

7442085400245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15463 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

Multiplying 7442085400245 by its sum of digits (45), we get a square (334893843011025 = 18300105²).

7442085400245 divided by its sum of digits (45) gives a square (165379675561 = 406669²).

The spelling of 7442085400245 in words is "seven trillion, four hundred forty-two billion, eighty-five million, four hundred thousand, two hundred forty-five".