414140362144245 has 96 divisors (see below), whose sum is σ = 810154410624000. Its totient is φ = 193859593804800.

The previous prime is 414140362144189. The next prime is 414140362144307. The reversal of 414140362144245 is 542441263041414.

414140362144245 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 0 + 3 + 6 + 214 + 424 + 5 = 666.

It is not a de Polignac number, because 414140362144245 - 2¹⁴ = 414140362127861 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 414140362144245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238129980 + ... + 239862810.

It is an arithmetic number, because the mean of its divisors is an integer number (8439108444000).

Almost surely, 2^{414140362144245} is an apocalyptic number.

414140362144245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414140362144245 is a deficient number, since it is larger than the sum of its proper divisors (396014048479755).

414140362144245 is a wasteful number, since it uses less digits than its factorization.

414140362144245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749531 (or 1749528 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 414140362144245 in words is "four hundred fourteen trillion, one hundred forty billion, three hundred sixty-two million, one hundred forty-four thousand, two hundred forty-five".